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

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


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

Reorder the terms:
8 = 3x + -4(-7 + 2x)
8 = 3x + (-7 * -4 + 2x * -4)
8 = 3x + (28 + -8x)

Reorder the terms:
8 = 28 + 3x + -8x

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

Solving
8 = 28 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
8 + 5x = 28 + -5x + 5x

Combine like terms: -5x + 5x = 0
8 + 5x = 28 + 0
8 + 5x = 28

Add '-8' to each side of the equation.
8 + -8 + 5x = 28 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 28 + -8
5x = 28 + -8

Combine like terms: 28 + -8 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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