x+7=5(2x-2)

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


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

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

Reorder the terms:
7 + x = 5(-2 + 2x)
7 + x = (-2 * 5 + 2x * 5)
7 + x = (-10 + 10x)

Solving
7 + x = -10 + 10x

Solving for variable 'x'.

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

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

Combine like terms: x + -10x = -9x
7 + -9x = -10 + 10x + -10x

Combine like terms: 10x + -10x = 0
7 + -9x = -10 + 0
7 + -9x = -10

Add '-7' to each side of the equation.
7 + -7 + -9x = -10 + -7

Combine like terms: 7 + -7 = 0
0 + -9x = -10 + -7
-9x = -10 + -7

Combine like terms: -10 + -7 = -17
-9x = -17

Divide each side by '-9'.
x = 1.888888889

Simplifying
x = 1.888888889

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