6(3-2x)+4=7(-4+4x)-8

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Solution for 6(3-2x)+4=7(-4+4x)-8 equation: 


Simplifying
6(3 + -2x) + 4 = 7(-4 + 4x) + -8
(3 * 6 + -2x * 6) + 4 = 7(-4 + 4x) + -8
(18 + -12x) + 4 = 7(-4 + 4x) + -8

Reorder the terms:
18 + 4 + -12x = 7(-4 + 4x) + -8

Combine like terms: 18 + 4 = 22
22 + -12x = 7(-4 + 4x) + -8
22 + -12x = (-4 * 7 + 4x * 7) + -8
22 + -12x = (-28 + 28x) + -8

Reorder the terms:
22 + -12x = -28 + -8 + 28x

Combine like terms: -28 + -8 = -36
22 + -12x = -36 + 28x

Solving
22 + -12x = -36 + 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.
22 + -12x + -28x = -36 + 28x + -28x

Combine like terms: -12x + -28x = -40x
22 + -40x = -36 + 28x + -28x

Combine like terms: 28x + -28x = 0
22 + -40x = -36 + 0
22 + -40x = -36

Add '-22' to each side of the equation.
22 + -22 + -40x = -36 + -22

Combine like terms: 22 + -22 = 0
0 + -40x = -36 + -22
-40x = -36 + -22

Combine like terms: -36 + -22 = -58
-40x = -58

Divide each side by '-40'.
x = 1.45

Simplifying
x = 1.45

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