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

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


Simplifying
3x + 4(2 + -1x) = 6x + -1(x + -2)
3x + (2 * 4 + -1x * 4) = 6x + -1(x + -2)
3x + (8 + -4x) = 6x + -1(x + -2)

Reorder the terms:
8 + 3x + -4x = 6x + -1(x + -2)

Combine like terms: 3x + -4x = -1x
8 + -1x = 6x + -1(x + -2)

Reorder the terms:
8 + -1x = 6x + -1(-2 + x)
8 + -1x = 6x + (-2 * -1 + x * -1)
8 + -1x = 6x + (2 + -1x)

Reorder the terms:
8 + -1x = 2 + 6x + -1x

Combine like terms: 6x + -1x = 5x
8 + -1x = 2 + 5x

Solving
8 + -1x = 2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + -1x + -5x = 2 + 5x + -5x

Combine like terms: -1x + -5x = -6x
8 + -6x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -6x = 2 + 0
8 + -6x = 2

Add '-8' to each side of the equation.
8 + -8 + -6x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = 2 + -8
-6x = 2 + -8

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

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

Simplifying
x = 1

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