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

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


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

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

Reorder the terms:
8 + 3x + -2x = 4x + -10

Combine like terms: 3x + -2x = 1x
8 + 1x = 4x + -10

Reorder the terms:
8 + 1x = -10 + 4x

Solving
8 + 1x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + 1x + -4x = -10 + 4x + -4x

Combine like terms: 1x + -4x = -3x
8 + -3x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -3x = -10 + 0
8 + -3x = -10

Add '-8' to each side of the equation.
8 + -8 + -3x = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -10 + -8
-3x = -10 + -8

Combine like terms: -10 + -8 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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