2(x-1)-4(3x+2)=10

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Solution for 2(x-1)-4(3x+2)=10 equation: 


Simplifying
2(x + -1) + -4(3x + 2) = 10

Reorder the terms:
2(-1 + x) + -4(3x + 2) = 10
(-1 * 2 + x * 2) + -4(3x + 2) = 10
(-2 + 2x) + -4(3x + 2) = 10

Reorder the terms:
-2 + 2x + -4(2 + 3x) = 10
-2 + 2x + (2 * -4 + 3x * -4) = 10
-2 + 2x + (-8 + -12x) = 10

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

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

Combine like terms: 2x + -12x = -10x
-10 + -10x = 10

Solving
-10 + -10x = 10

Solving for variable 'x'.

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

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

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

Combine like terms: 10 + 10 = 20
-10x = 20

Divide each side by '-10'.
x = -2

Simplifying
x = -2

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