9x-7=7(2x-11)

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Solution for 9x-7=7(2x-11) equation:


Simplifying
9x + -7 = 7(2x + -11)

Reorder the terms:
-7 + 9x = 7(2x + -11)

Reorder the terms:
-7 + 9x = 7(-11 + 2x)
-7 + 9x = (-11 * 7 + 2x * 7)
-7 + 9x = (-77 + 14x)

Solving
-7 + 9x = -77 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-7 + 9x + -14x = -77 + 14x + -14x

Combine like terms: 9x + -14x = -5x
-7 + -5x = -77 + 14x + -14x

Combine like terms: 14x + -14x = 0
-7 + -5x = -77 + 0
-7 + -5x = -77

Add '7' to each side of the equation.
-7 + 7 + -5x = -77 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = -77 + 7
-5x = -77 + 7

Combine like terms: -77 + 7 = -70
-5x = -70

Divide each side by '-5'.
x = 14

Simplifying
x = 14

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