6(x+2)-5(x-4)=7

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Solution for 6(x+2)-5(x-4)=7 equation: 


Simplifying
6(x + 2) + -5(x + -4) = 7

Reorder the terms:
6(2 + x) + -5(x + -4) = 7
(2 * 6 + x * 6) + -5(x + -4) = 7
(12 + 6x) + -5(x + -4) = 7

Reorder the terms:
12 + 6x + -5(-4 + x) = 7
12 + 6x + (-4 * -5 + x * -5) = 7
12 + 6x + (20 + -5x) = 7

Reorder the terms:
12 + 20 + 6x + -5x = 7

Combine like terms: 12 + 20 = 32
32 + 6x + -5x = 7

Combine like terms: 6x + -5x = 1x
32 + 1x = 7

Solving
32 + 1x = 7

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 + 1x = 7 + -32

Combine like terms: 32 + -32 = 0
0 + 1x = 7 + -32
1x = 7 + -32

Combine like terms: 7 + -32 = -25
1x = -25

Divide each side by '1'.
x = -25

Simplifying
x = -25

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