5(2x+17)=7x+112

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Solution for 5(2x+17)=7x+112 equation:


Simplifying
5(2x + 17) = 7x + 112

Reorder the terms:
5(17 + 2x) = 7x + 112
(17 * 5 + 2x * 5) = 7x + 112
(85 + 10x) = 7x + 112

Reorder the terms:
85 + 10x = 112 + 7x

Solving
85 + 10x = 112 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
85 + 10x + -7x = 112 + 7x + -7x

Combine like terms: 10x + -7x = 3x
85 + 3x = 112 + 7x + -7x

Combine like terms: 7x + -7x = 0
85 + 3x = 112 + 0
85 + 3x = 112

Add '-85' to each side of the equation.
85 + -85 + 3x = 112 + -85

Combine like terms: 85 + -85 = 0
0 + 3x = 112 + -85
3x = 112 + -85

Combine like terms: 112 + -85 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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