4(x-5)-3(7+2x)+57=6(4-x)+2(x-8)

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Solution for 4(x-5)-3(7+2x)+57=6(4-x)+2(x-8) equation: 


Simplifying
4(x + -5) + -3(7 + 2x) + 57 = 6(4 + -1x) + 2(x + -8)

Reorder the terms:
4(-5 + x) + -3(7 + 2x) + 57 = 6(4 + -1x) + 2(x + -8)
(-5 * 4 + x * 4) + -3(7 + 2x) + 57 = 6(4 + -1x) + 2(x + -8)
(-20 + 4x) + -3(7 + 2x) + 57 = 6(4 + -1x) + 2(x + -8)
-20 + 4x + (7 * -3 + 2x * -3) + 57 = 6(4 + -1x) + 2(x + -8)
-20 + 4x + (-21 + -6x) + 57 = 6(4 + -1x) + 2(x + -8)

Reorder the terms:
-20 + -21 + 57 + 4x + -6x = 6(4 + -1x) + 2(x + -8)

Combine like terms: -20 + -21 = -41
-41 + 57 + 4x + -6x = 6(4 + -1x) + 2(x + -8)

Combine like terms: -41 + 57 = 16
16 + 4x + -6x = 6(4 + -1x) + 2(x + -8)

Combine like terms: 4x + -6x = -2x
16 + -2x = 6(4 + -1x) + 2(x + -8)
16 + -2x = (4 * 6 + -1x * 6) + 2(x + -8)
16 + -2x = (24 + -6x) + 2(x + -8)

Reorder the terms:
16 + -2x = 24 + -6x + 2(-8 + x)
16 + -2x = 24 + -6x + (-8 * 2 + x * 2)
16 + -2x = 24 + -6x + (-16 + 2x)

Reorder the terms:
16 + -2x = 24 + -16 + -6x + 2x

Combine like terms: 24 + -16 = 8
16 + -2x = 8 + -6x + 2x

Combine like terms: -6x + 2x = -4x
16 + -2x = 8 + -4x

Solving
16 + -2x = 8 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
16 + -2x + 4x = 8 + -4x + 4x

Combine like terms: -2x + 4x = 2x
16 + 2x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
16 + 2x = 8 + 0
16 + 2x = 8

Add '-16' to each side of the equation.
16 + -16 + 2x = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 8 + -16
2x = 8 + -16

Combine like terms: 8 + -16 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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