-2(x-6)+4(2x+1)=10

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Solution for -2(x-6)+4(2x+1)=10 equation: 


Simplifying
-2(x + -6) + 4(2x + 1) = 10

Reorder the terms:
-2(-6 + x) + 4(2x + 1) = 10
(-6 * -2 + x * -2) + 4(2x + 1) = 10
(12 + -2x) + 4(2x + 1) = 10

Reorder the terms:
12 + -2x + 4(1 + 2x) = 10
12 + -2x + (1 * 4 + 2x * 4) = 10
12 + -2x + (4 + 8x) = 10

Reorder the terms:
12 + 4 + -2x + 8x = 10

Combine like terms: 12 + 4 = 16
16 + -2x + 8x = 10

Combine like terms: -2x + 8x = 6x
16 + 6x = 10

Solving
16 + 6x = 10

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 6x = 10 + -16

Combine like terms: 16 + -16 = 0
0 + 6x = 10 + -16
6x = 10 + -16

Combine like terms: 10 + -16 = -6
6x = -6

Divide each side by '6'.
x = -1

Simplifying
x = -1

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