-2(x-4)-3(2x+1)=2(x-4)-3

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Solution for -2(x-4)-3(2x+1)=2(x-4)-3 equation:


Simplifying
-2(x + -4) + -3(2x + 1) = 2(x + -4) + -3

Reorder the terms:
-2(-4 + x) + -3(2x + 1) = 2(x + -4) + -3
(-4 * -2 + x * -2) + -3(2x + 1) = 2(x + -4) + -3
(8 + -2x) + -3(2x + 1) = 2(x + -4) + -3

Reorder the terms:
8 + -2x + -3(1 + 2x) = 2(x + -4) + -3
8 + -2x + (1 * -3 + 2x * -3) = 2(x + -4) + -3
8 + -2x + (-3 + -6x) = 2(x + -4) + -3

Reorder the terms:
8 + -3 + -2x + -6x = 2(x + -4) + -3

Combine like terms: 8 + -3 = 5
5 + -2x + -6x = 2(x + -4) + -3

Combine like terms: -2x + -6x = -8x
5 + -8x = 2(x + -4) + -3

Reorder the terms:
5 + -8x = 2(-4 + x) + -3
5 + -8x = (-4 * 2 + x * 2) + -3
5 + -8x = (-8 + 2x) + -3

Reorder the terms:
5 + -8x = -8 + -3 + 2x

Combine like terms: -8 + -3 = -11
5 + -8x = -11 + 2x

Solving
5 + -8x = -11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5 + -8x + -2x = -11 + 2x + -2x

Combine like terms: -8x + -2x = -10x
5 + -10x = -11 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -10x = -11 + 0
5 + -10x = -11

Add '-5' to each side of the equation.
5 + -5 + -10x = -11 + -5

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

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

Divide each side by '-10'.
x = 1.6

Simplifying
x = 1.6

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