4x-(x-2)=18-3x

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Solution for 4x-(x-2)=18-3x equation:


Simplifying
4x + -1(x + -2) = 18 + -3x

Reorder the terms:
4x + -1(-2 + x) = 18 + -3x
4x + (-2 * -1 + x * -1) = 18 + -3x
4x + (2 + -1x) = 18 + -3x

Reorder the terms:
2 + 4x + -1x = 18 + -3x

Combine like terms: 4x + -1x = 3x
2 + 3x = 18 + -3x

Solving
2 + 3x = 18 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2 + 3x + 3x = 18 + -3x + 3x

Combine like terms: 3x + 3x = 6x
2 + 6x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 6x = 18 + 0
2 + 6x = 18

Add '-2' to each side of the equation.
2 + -2 + 6x = 18 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 18 + -2
6x = 18 + -2

Combine like terms: 18 + -2 = 16
6x = 16

Divide each side by '6'.
x = 2.666666667

Simplifying
x = 2.666666667

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