13-3x=-7(1-x)

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Solution for 13-3x=-7(1-x) equation:


Simplifying
13 + -3x = -7(1 + -1x)
13 + -3x = (1 * -7 + -1x * -7)
13 + -3x = (-7 + 7x)

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

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

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

Add '-13' to each side of the equation.
13 + -13 + -10x = -7 + -13

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

Combine like terms: -7 + -13 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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