3(-7x+7)+8x=2(-7x+11)-5

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Solution for 3(-7x+7)+8x=2(-7x+11)-5 equation:


Simplifying
3(-7x + 7) + 8x = 2(-7x + 11) + -5

Reorder the terms:
3(7 + -7x) + 8x = 2(-7x + 11) + -5
(7 * 3 + -7x * 3) + 8x = 2(-7x + 11) + -5
(21 + -21x) + 8x = 2(-7x + 11) + -5

Combine like terms: -21x + 8x = -13x
21 + -13x = 2(-7x + 11) + -5

Reorder the terms:
21 + -13x = 2(11 + -7x) + -5
21 + -13x = (11 * 2 + -7x * 2) + -5
21 + -13x = (22 + -14x) + -5

Reorder the terms:
21 + -13x = 22 + -5 + -14x

Combine like terms: 22 + -5 = 17
21 + -13x = 17 + -14x

Solving
21 + -13x = 17 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
21 + -13x + 14x = 17 + -14x + 14x

Combine like terms: -13x + 14x = 1x
21 + 1x = 17 + -14x + 14x

Combine like terms: -14x + 14x = 0
21 + 1x = 17 + 0
21 + 1x = 17

Add '-21' to each side of the equation.
21 + -21 + 1x = 17 + -21

Combine like terms: 21 + -21 = 0
0 + 1x = 17 + -21
1x = 17 + -21

Combine like terms: 17 + -21 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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