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

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


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

Reorder the terms:
3(8 + -3x) = -7(4x + 2)
(8 * 3 + -3x * 3) = -7(4x + 2)
(24 + -9x) = -7(4x + 2)

Reorder the terms:
24 + -9x = -7(2 + 4x)
24 + -9x = (2 * -7 + 4x * -7)
24 + -9x = (-14 + -28x)

Solving
24 + -9x = -14 + -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.
24 + -9x + 28x = -14 + -28x + 28x

Combine like terms: -9x + 28x = 19x
24 + 19x = -14 + -28x + 28x

Combine like terms: -28x + 28x = 0
24 + 19x = -14 + 0
24 + 19x = -14

Add '-24' to each side of the equation.
24 + -24 + 19x = -14 + -24

Combine like terms: 24 + -24 = 0
0 + 19x = -14 + -24
19x = -14 + -24

Combine like terms: -14 + -24 = -38
19x = -38

Divide each side by '19'.
x = -2

Simplifying
x = -2

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