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

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Solution for -3(2x-7)+1=4(x-8)-6 equation: 


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

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

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

Combine like terms: 21 + 1 = 22
22 + -6x = 4(x + -8) + -6

Reorder the terms:
22 + -6x = 4(-8 + x) + -6
22 + -6x = (-8 * 4 + x * 4) + -6
22 + -6x = (-32 + 4x) + -6

Reorder the terms:
22 + -6x = -32 + -6 + 4x

Combine like terms: -32 + -6 = -38
22 + -6x = -38 + 4x

Solving
22 + -6x = -38 + 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.
22 + -6x + -4x = -38 + 4x + -4x

Combine like terms: -6x + -4x = -10x
22 + -10x = -38 + 4x + -4x

Combine like terms: 4x + -4x = 0
22 + -10x = -38 + 0
22 + -10x = -38

Add '-22' to each side of the equation.
22 + -22 + -10x = -38 + -22

Combine like terms: 22 + -22 = 0
0 + -10x = -38 + -22
-10x = -38 + -22

Combine like terms: -38 + -22 = -60
-10x = -60

Divide each side by '-10'.
x = 6

Simplifying
x = 6

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