2(3x+4)+4(2x-1)=32

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Solution for 2(3x+4)+4(2x-1)=32 equation: 


Simplifying
2(3x + 4) + 4(2x + -1) = 32

Reorder the terms:
2(4 + 3x) + 4(2x + -1) = 32
(4 * 2 + 3x * 2) + 4(2x + -1) = 32
(8 + 6x) + 4(2x + -1) = 32

Reorder the terms:
8 + 6x + 4(-1 + 2x) = 32
8 + 6x + (-1 * 4 + 2x * 4) = 32
8 + 6x + (-4 + 8x) = 32

Reorder the terms:
8 + -4 + 6x + 8x = 32

Combine like terms: 8 + -4 = 4
4 + 6x + 8x = 32

Combine like terms: 6x + 8x = 14x
4 + 14x = 32

Solving
4 + 14x = 32

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 14x = 32 + -4

Combine like terms: 4 + -4 = 0
0 + 14x = 32 + -4
14x = 32 + -4

Combine like terms: 32 + -4 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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