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

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


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

Reorder the terms:
(4 + -3x) = -8(x + -3)

Remove parenthesis around (4 + -3x)
4 + -3x = -8(x + -3)

Reorder the terms:
4 + -3x = -8(-3 + x)
4 + -3x = (-3 * -8 + x * -8)
4 + -3x = (24 + -8x)

Solving
4 + -3x = 24 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
4 + -3x + 8x = 24 + -8x + 8x

Combine like terms: -3x + 8x = 5x
4 + 5x = 24 + -8x + 8x

Combine like terms: -8x + 8x = 0
4 + 5x = 24 + 0
4 + 5x = 24

Add '-4' to each side of the equation.
4 + -4 + 5x = 24 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 24 + -4
5x = 24 + -4

Combine like terms: 24 + -4 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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