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

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


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

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

Reorder the terms:
7 + 3x = 4(-8 + 2x)
7 + 3x = (-8 * 4 + 2x * 4)
7 + 3x = (-32 + 8x)

Solving
7 + 3x = -32 + 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.
7 + 3x + -8x = -32 + 8x + -8x

Combine like terms: 3x + -8x = -5x
7 + -5x = -32 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + -5x = -32 + 0
7 + -5x = -32

Add '-7' to each side of the equation.
7 + -7 + -5x = -32 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = -32 + -7
-5x = -32 + -7

Combine like terms: -32 + -7 = -39
-5x = -39

Divide each side by '-5'.
x = 7.8

Simplifying
x = 7.8

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