7=7x-5(x-2)

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


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

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

Reorder the terms:
7 = 10 + 7x + -5x

Combine like terms: 7x + -5x = 2x
7 = 10 + 2x

Solving
7 = 10 + 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.
7 + -2x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -2x = 10 + 0
7 + -2x = 10

Add '-7' to each side of the equation.
7 + -7 + -2x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 10 + -7
-2x = 10 + -7

Combine like terms: 10 + -7 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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