6(x-7)-5x+(-12)+-3x=9(-x+-11)-(-2)14

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Solution for 6(x-7)-5x+(-12)+-3x=9(-x+-11)-(-2)14 equation: 


Simplifying
6(x + -7) + -5x + (-12) + -3x = 9(-1x + -11) + -1(-2) * 14

Reorder the terms:
6(-7 + x) + -5x + (-12) + -3x = 9(-1x + -11) + -1(-2) * 14
(-7 * 6 + x * 6) + -5x + (-12) + -3x = 9(-1x + -11) + -1(-2) * 14
(-42 + 6x) + -5x + (-12) + -3x = 9(-1x + -11) + -1(-2) * 14
-42 + 6x + -5x + -12 + -3x = 9(-1x + -11) + -1(-2) * 14

Reorder the terms:
-42 + -12 + 6x + -5x + -3x = 9(-1x + -11) + -1(-2) * 14

Combine like terms: -42 + -12 = -54
-54 + 6x + -5x + -3x = 9(-1x + -11) + -1(-2) * 14

Combine like terms: 6x + -5x = 1x
-54 + 1x + -3x = 9(-1x + -11) + -1(-2) * 14

Combine like terms: 1x + -3x = -2x
-54 + -2x = 9(-1x + -11) + -1(-2) * 14

Reorder the terms:
-54 + -2x = 9(-11 + -1x) + -1(-2) * 14
-54 + -2x = (-11 * 9 + -1x * 9) + -1(-2) * 14
-54 + -2x = (-99 + -9x) + -1(-2) * 14

Multiply -1 * -2
-54 + -2x = -99 + -9x + 2 * 14

Multiply 2 * 14
-54 + -2x = -99 + -9x + 28

Reorder the terms:
-54 + -2x = -99 + 28 + -9x

Combine like terms: -99 + 28 = -71
-54 + -2x = -71 + -9x

Solving
-54 + -2x = -71 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-54 + -2x + 9x = -71 + -9x + 9x

Combine like terms: -2x + 9x = 7x
-54 + 7x = -71 + -9x + 9x

Combine like terms: -9x + 9x = 0
-54 + 7x = -71 + 0
-54 + 7x = -71

Add '54' to each side of the equation.
-54 + 54 + 7x = -71 + 54

Combine like terms: -54 + 54 = 0
0 + 7x = -71 + 54
7x = -71 + 54

Combine like terms: -71 + 54 = -17
7x = -17

Divide each side by '7'.
x = -2.428571429

Simplifying
x = -2.428571429

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