5(x-7)+9=2(x-7)

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Solution for 5(x-7)+9=2(x-7) equation:


Simplifying
5(x + -7) + 9 = 2(x + -7)

Reorder the terms:
5(-7 + x) + 9 = 2(x + -7)
(-7 * 5 + x * 5) + 9 = 2(x + -7)
(-35 + 5x) + 9 = 2(x + -7)

Reorder the terms:
-35 + 9 + 5x = 2(x + -7)

Combine like terms: -35 + 9 = -26
-26 + 5x = 2(x + -7)

Reorder the terms:
-26 + 5x = 2(-7 + x)
-26 + 5x = (-7 * 2 + x * 2)
-26 + 5x = (-14 + 2x)

Solving
-26 + 5x = -14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-26 + 5x + -2x = -14 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-26 + 3x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-26 + 3x = -14 + 0
-26 + 3x = -14

Add '26' to each side of the equation.
-26 + 26 + 3x = -14 + 26

Combine like terms: -26 + 26 = 0
0 + 3x = -14 + 26
3x = -14 + 26

Combine like terms: -14 + 26 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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