6(x-3)-8=2(x+1)

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Solution for 6(x-3)-8=2(x+1) equation:


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

Reorder the terms:
6(-3 + x) + -8 = 2(x + 1)
(-3 * 6 + x * 6) + -8 = 2(x + 1)
(-18 + 6x) + -8 = 2(x + 1)

Reorder the terms:
-18 + -8 + 6x = 2(x + 1)

Combine like terms: -18 + -8 = -26
-26 + 6x = 2(x + 1)

Reorder the terms:
-26 + 6x = 2(1 + x)
-26 + 6x = (1 * 2 + x * 2)
-26 + 6x = (2 + 2x)

Solving
-26 + 6x = 2 + 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.
-26 + 6x + -2x = 2 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-26 + 4x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-26 + 4x = 2 + 0
-26 + 4x = 2

Add '26' to each side of the equation.
-26 + 26 + 4x = 2 + 26

Combine like terms: -26 + 26 = 0
0 + 4x = 2 + 26
4x = 2 + 26

Combine like terms: 2 + 26 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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