4(x+6)-2(x-4)=40

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Solution for 4(x+6)-2(x-4)=40 equation: 


Simplifying
4(x + 6) + -2(x + -4) = 40

Reorder the terms:
4(6 + x) + -2(x + -4) = 40
(6 * 4 + x * 4) + -2(x + -4) = 40
(24 + 4x) + -2(x + -4) = 40

Reorder the terms:
24 + 4x + -2(-4 + x) = 40
24 + 4x + (-4 * -2 + x * -2) = 40
24 + 4x + (8 + -2x) = 40

Reorder the terms:
24 + 8 + 4x + -2x = 40

Combine like terms: 24 + 8 = 32
32 + 4x + -2x = 40

Combine like terms: 4x + -2x = 2x
32 + 2x = 40

Solving
32 + 2x = 40

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + 2x = 40 + -32

Combine like terms: 32 + -32 = 0
0 + 2x = 40 + -32
2x = 40 + -32

Combine like terms: 40 + -32 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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