7-3(x-2)=-7(2-x)

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Solution for 7-3(x-2)=-7(2-x) equation:


Simplifying
7 + -3(x + -2) = -7(2 + -1x)

Reorder the terms:
7 + -3(-2 + x) = -7(2 + -1x)
7 + (-2 * -3 + x * -3) = -7(2 + -1x)
7 + (6 + -3x) = -7(2 + -1x)

Combine like terms: 7 + 6 = 13
13 + -3x = -7(2 + -1x)
13 + -3x = (2 * -7 + -1x * -7)
13 + -3x = (-14 + 7x)

Solving
13 + -3x = -14 + 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.
13 + -3x + -7x = -14 + 7x + -7x

Combine like terms: -3x + -7x = -10x
13 + -10x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
13 + -10x = -14 + 0
13 + -10x = -14

Add '-13' to each side of the equation.
13 + -13 + -10x = -14 + -13

Combine like terms: 13 + -13 = 0
0 + -10x = -14 + -13
-10x = -14 + -13

Combine like terms: -14 + -13 = -27
-10x = -27

Divide each side by '-10'.
x = 2.7

Simplifying
x = 2.7

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