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

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


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

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

Combine like terms: 2 + 21 = 23
23 + -3x + -7x = 4(x + -2) + 8

Combine like terms: -3x + -7x = -10x
23 + -10x = 4(x + -2) + 8

Reorder the terms:
23 + -10x = 4(-2 + x) + 8
23 + -10x = (-2 * 4 + x * 4) + 8
23 + -10x = (-8 + 4x) + 8

Reorder the terms:
23 + -10x = -8 + 8 + 4x

Combine like terms: -8 + 8 = 0
23 + -10x = 0 + 4x
23 + -10x = 4x

Solving
23 + -10x = 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.
23 + -10x + -4x = 4x + -4x

Combine like terms: -10x + -4x = -14x
23 + -14x = 4x + -4x

Combine like terms: 4x + -4x = 0
23 + -14x = 0

Add '-23' to each side of the equation.
23 + -23 + -14x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -14x = 0 + -23
-14x = 0 + -23

Combine like terms: 0 + -23 = -23
-14x = -23

Divide each side by '-14'.
x = 1.642857143

Simplifying
x = 1.642857143

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