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Solve for x in the following algebra problems: a) x+7=15, b) -3x=-6, c) 9x−7=11, d) x/4=-5, e) -x/3+1=3, f) (3x-1)/2=2, g) x−8=19
Mathematics
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Step-by-step solution
27 stepsHere are the solutions to the algebra problems:
Part a· 2 steps
Solve for
Subtract 7 from both sides of the equation.
Simplify the right side.
The solution is .
Part b· 2 steps
Solve for
Divide both sides of the equation by -3.
Simplify the fraction.
The solution is .
Part c· 3 steps
Solve for
Add 7 to both sides of the equation.
Divide both sides by 9.
Simplify the fraction.
The solution is .
Part d· 2 steps
Solve for
Multiply both sides of the equation by 4.
Perform the multiplication.
The solution is .
Part e· 3 steps
Solve for
Subtract 1 from both sides of the equation.
Multiply both sides by -3.
Perform the multiplication.
The solution is .
Part f· 3 steps
Solve for
Multiply both sides of the equation by 2.
Add 1 to both sides.
Divide both sides by 3.
The solution is .
Part g· 2 steps
Solve for
Add 8 to both sides of the equation.
Perform the addition.
The solution is .
Part h· 3 steps
Solve for
Subtract 5 from both sides of the equation.
Divide both sides by 3.
Simplify the fraction.
The solution is .
Part h(i)· 7 steps
Solve for
Multiply both sides of the equation by 3.
Perform the multiplication.
The solution is .
j) Solve for :
Multiply the entire equation by the least common multiple of the denominators (2 and 3), which is 6, to eliminate the fractions.
Distribute the numbers into the parentheses.
Combine like terms ( terms and constant terms).
Subtract 23 from both sides of the equation.
Divide both sides by 13.
The solution is .
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More Mathematics Questions
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