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

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


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

Reorder the terms:
3(-2 + x) + -4 = 4x + -2
(-2 * 3 + x * 3) + -4 = 4x + -2
(-6 + 3x) + -4 = 4x + -2

Reorder the terms:
-6 + -4 + 3x = 4x + -2

Combine like terms: -6 + -4 = -10
-10 + 3x = 4x + -2

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

Solving
-10 + 3x = -2 + 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.
-10 + 3x + -4x = -2 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-10 + -1x = -2 + 0
-10 + -1x = -2

Add '10' to each side of the equation.
-10 + 10 + -1x = -2 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -2 + 10
-1x = -2 + 10

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

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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