-2(x-4)-3(2x-5)=4-x

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Solution for -2(x-4)-3(2x-5)=4-x equation:


Simplifying
-2(x + -4) + -3(2x + -5) = 4 + -1x

Reorder the terms:
-2(-4 + x) + -3(2x + -5) = 4 + -1x
(-4 * -2 + x * -2) + -3(2x + -5) = 4 + -1x
(8 + -2x) + -3(2x + -5) = 4 + -1x

Reorder the terms:
8 + -2x + -3(-5 + 2x) = 4 + -1x
8 + -2x + (-5 * -3 + 2x * -3) = 4 + -1x
8 + -2x + (15 + -6x) = 4 + -1x

Reorder the terms:
8 + 15 + -2x + -6x = 4 + -1x

Combine like terms: 8 + 15 = 23
23 + -2x + -6x = 4 + -1x

Combine like terms: -2x + -6x = -8x
23 + -8x = 4 + -1x

Solving
23 + -8x = 4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
23 + -8x + x = 4 + -1x + x

Combine like terms: -8x + x = -7x
23 + -7x = 4 + -1x + x

Combine like terms: -1x + x = 0
23 + -7x = 4 + 0
23 + -7x = 4

Add '-23' to each side of the equation.
23 + -23 + -7x = 4 + -23

Combine like terms: 23 + -23 = 0
0 + -7x = 4 + -23
-7x = 4 + -23

Combine like terms: 4 + -23 = -19
-7x = -19

Divide each side by '-7'.
x = 2.714285714

Simplifying
x = 2.714285714

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