-4(4x+2)-2=-5(x+1)+2

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Solution for -4(4x+2)-2=-5(x+1)+2 equation:


Simplifying
-4(4x + 2) + -2 = -5(x + 1) + 2

Reorder the terms:
-4(2 + 4x) + -2 = -5(x + 1) + 2
(2 * -4 + 4x * -4) + -2 = -5(x + 1) + 2
(-8 + -16x) + -2 = -5(x + 1) + 2

Reorder the terms:
-8 + -2 + -16x = -5(x + 1) + 2

Combine like terms: -8 + -2 = -10
-10 + -16x = -5(x + 1) + 2

Reorder the terms:
-10 + -16x = -5(1 + x) + 2
-10 + -16x = (1 * -5 + x * -5) + 2
-10 + -16x = (-5 + -5x) + 2

Reorder the terms:
-10 + -16x = -5 + 2 + -5x

Combine like terms: -5 + 2 = -3
-10 + -16x = -3 + -5x

Solving
-10 + -16x = -3 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-10 + -16x + 5x = -3 + -5x + 5x

Combine like terms: -16x + 5x = -11x
-10 + -11x = -3 + -5x + 5x

Combine like terms: -5x + 5x = 0
-10 + -11x = -3 + 0
-10 + -11x = -3

Add '10' to each side of the equation.
-10 + 10 + -11x = -3 + 10

Combine like terms: -10 + 10 = 0
0 + -11x = -3 + 10
-11x = -3 + 10

Combine like terms: -3 + 10 = 7
-11x = 7

Divide each side by '-11'.
x = -0.6363636364

Simplifying
x = -0.6363636364

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