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

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


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

Reorder the terms:
4(-3 + x) + -2 = 6 + -1x
(-3 * 4 + x * 4) + -2 = 6 + -1x
(-12 + 4x) + -2 = 6 + -1x

Reorder the terms:
-12 + -2 + 4x = 6 + -1x

Combine like terms: -12 + -2 = -14
-14 + 4x = 6 + -1x

Solving
-14 + 4x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-14 + 4x + x = 6 + -1x + x

Combine like terms: 4x + x = 5x
-14 + 5x = 6 + -1x + x

Combine like terms: -1x + x = 0
-14 + 5x = 6 + 0
-14 + 5x = 6

Add '14' to each side of the equation.
-14 + 14 + 5x = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = 6 + 14
5x = 6 + 14

Combine like terms: 6 + 14 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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