3(7-8x)+2(x-1)=-8(3+x)+2(4-x)

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Solution for 3(7-8x)+2(x-1)=-8(3+x)+2(4-x) equation: 


Simplifying
3(7 + -8x) + 2(x + -1) = -8(3 + x) + 2(4 + -1x)
(7 * 3 + -8x * 3) + 2(x + -1) = -8(3 + x) + 2(4 + -1x)
(21 + -24x) + 2(x + -1) = -8(3 + x) + 2(4 + -1x)

Reorder the terms:
21 + -24x + 2(-1 + x) = -8(3 + x) + 2(4 + -1x)
21 + -24x + (-1 * 2 + x * 2) = -8(3 + x) + 2(4 + -1x)
21 + -24x + (-2 + 2x) = -8(3 + x) + 2(4 + -1x)

Reorder the terms:
21 + -2 + -24x + 2x = -8(3 + x) + 2(4 + -1x)

Combine like terms: 21 + -2 = 19
19 + -24x + 2x = -8(3 + x) + 2(4 + -1x)

Combine like terms: -24x + 2x = -22x
19 + -22x = -8(3 + x) + 2(4 + -1x)
19 + -22x = (3 * -8 + x * -8) + 2(4 + -1x)
19 + -22x = (-24 + -8x) + 2(4 + -1x)
19 + -22x = -24 + -8x + (4 * 2 + -1x * 2)
19 + -22x = -24 + -8x + (8 + -2x)

Reorder the terms:
19 + -22x = -24 + 8 + -8x + -2x

Combine like terms: -24 + 8 = -16
19 + -22x = -16 + -8x + -2x

Combine like terms: -8x + -2x = -10x
19 + -22x = -16 + -10x

Solving
19 + -22x = -16 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
19 + -22x + 10x = -16 + -10x + 10x

Combine like terms: -22x + 10x = -12x
19 + -12x = -16 + -10x + 10x

Combine like terms: -10x + 10x = 0
19 + -12x = -16 + 0
19 + -12x = -16

Add '-19' to each side of the equation.
19 + -19 + -12x = -16 + -19

Combine like terms: 19 + -19 = 0
0 + -12x = -16 + -19
-12x = -16 + -19

Combine like terms: -16 + -19 = -35
-12x = -35

Divide each side by '-12'.
x = 2.916666667

Simplifying
x = 2.916666667

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