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

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Solution for 7-2(x+1)=-3(x-7) equation:


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

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

Combine like terms: 7 + -2 = 5
5 + -2x = -3(x + -7)

Reorder the terms:
5 + -2x = -3(-7 + x)
5 + -2x = (-7 * -3 + x * -3)
5 + -2x = (21 + -3x)

Solving
5 + -2x = 21 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
5 + -2x + 3x = 21 + -3x + 3x

Combine like terms: -2x + 3x = 1x
5 + 1x = 21 + -3x + 3x

Combine like terms: -3x + 3x = 0
5 + 1x = 21 + 0
5 + 1x = 21

Add '-5' to each side of the equation.
5 + -5 + 1x = 21 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 21 + -5
1x = 21 + -5

Combine like terms: 21 + -5 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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