12(-4x+7)+7x=-9(-5x+11)+11

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Solution for 12(-4x+7)+7x=-9(-5x+11)+11 equation:


Simplifying
12(-4x + 7) + 7x = -9(-5x + 11) + 11

Reorder the terms:
12(7 + -4x) + 7x = -9(-5x + 11) + 11
(7 * 12 + -4x * 12) + 7x = -9(-5x + 11) + 11
(84 + -48x) + 7x = -9(-5x + 11) + 11

Combine like terms: -48x + 7x = -41x
84 + -41x = -9(-5x + 11) + 11

Reorder the terms:
84 + -41x = -9(11 + -5x) + 11
84 + -41x = (11 * -9 + -5x * -9) + 11
84 + -41x = (-99 + 45x) + 11

Reorder the terms:
84 + -41x = -99 + 11 + 45x

Combine like terms: -99 + 11 = -88
84 + -41x = -88 + 45x

Solving
84 + -41x = -88 + 45x

Solving for variable 'x'.

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

Add '-45x' to each side of the equation.
84 + -41x + -45x = -88 + 45x + -45x

Combine like terms: -41x + -45x = -86x
84 + -86x = -88 + 45x + -45x

Combine like terms: 45x + -45x = 0
84 + -86x = -88 + 0
84 + -86x = -88

Add '-84' to each side of the equation.
84 + -84 + -86x = -88 + -84

Combine like terms: 84 + -84 = 0
0 + -86x = -88 + -84
-86x = -88 + -84

Combine like terms: -88 + -84 = -172
-86x = -172

Divide each side by '-86'.
x = 2

Simplifying
x = 2

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