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

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


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

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

Combine like terms: -3x + 8x = 5x
6 + 5x = 5 + -4(2 + -7x)
6 + 5x = 5 + (2 * -4 + -7x * -4)
6 + 5x = 5 + (-8 + 28x)

Combine like terms: 5 + -8 = -3
6 + 5x = -3 + 28x

Solving
6 + 5x = -3 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
6 + 5x + -28x = -3 + 28x + -28x

Combine like terms: 5x + -28x = -23x
6 + -23x = -3 + 28x + -28x

Combine like terms: 28x + -28x = 0
6 + -23x = -3 + 0
6 + -23x = -3

Add '-6' to each side of the equation.
6 + -6 + -23x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -23x = -3 + -6
-23x = -3 + -6

Combine like terms: -3 + -6 = -9
-23x = -9

Divide each side by '-23'.
x = 0.3913043478

Simplifying
x = 0.3913043478

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