3x-4=-2(x-1)+6

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Solution for 3x-4=-2(x-1)+6 equation:


Simplifying
3x + -4 = -2(x + -1) + 6

Reorder the terms:
-4 + 3x = -2(x + -1) + 6

Reorder the terms:
-4 + 3x = -2(-1 + x) + 6
-4 + 3x = (-1 * -2 + x * -2) + 6
-4 + 3x = (2 + -2x) + 6

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

Combine like terms: 2 + 6 = 8
-4 + 3x = 8 + -2x

Solving
-4 + 3x = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-4 + 3x + 2x = 8 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-4 + 5x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + 5x = 8 + 0
-4 + 5x = 8

Add '4' to each side of the equation.
-4 + 4 + 5x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 8 + 4
5x = 8 + 4

Combine like terms: 8 + 4 = 12
5x = 12

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4

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