-3(4x-6)+11x+22-4(4x+9)-10+4x=-2

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Solution for -3(4x-6)+11x+22-4(4x+9)-10+4x=-2 equation:


Simplifying
-3(4x + -6) + 11x + 22 + -4(4x + 9) + -10 + 4x = -2

Reorder the terms:
-3(-6 + 4x) + 11x + 22 + -4(4x + 9) + -10 + 4x = -2
(-6 * -3 + 4x * -3) + 11x + 22 + -4(4x + 9) + -10 + 4x = -2
(18 + -12x) + 11x + 22 + -4(4x + 9) + -10 + 4x = -2

Reorder the terms:
18 + -12x + 11x + 22 + -4(9 + 4x) + -10 + 4x = -2
18 + -12x + 11x + 22 + (9 * -4 + 4x * -4) + -10 + 4x = -2
18 + -12x + 11x + 22 + (-36 + -16x) + -10 + 4x = -2

Reorder the terms:
18 + 22 + -36 + -10 + -12x + 11x + -16x + 4x = -2

Combine like terms: 18 + 22 = 40
40 + -36 + -10 + -12x + 11x + -16x + 4x = -2

Combine like terms: 40 + -36 = 4
4 + -10 + -12x + 11x + -16x + 4x = -2

Combine like terms: 4 + -10 = -6
-6 + -12x + 11x + -16x + 4x = -2

Combine like terms: -12x + 11x = -1x
-6 + -1x + -16x + 4x = -2

Combine like terms: -1x + -16x = -17x
-6 + -17x + 4x = -2

Combine like terms: -17x + 4x = -13x
-6 + -13x = -2

Solving
-6 + -13x = -2

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + -13x = -2 + 6

Combine like terms: -6 + 6 = 0
0 + -13x = -2 + 6
-13x = -2 + 6

Combine like terms: -2 + 6 = 4
-13x = 4

Divide each side by '-13'.
x = -0.3076923077

Simplifying
x = -0.3076923077

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