6(x-1)+2(x+1)=10-5x

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Solution for 6(x-1)+2(x+1)=10-5x equation:


Simplifying
6(x + -1) + 2(x + 1) = 10 + -5x

Reorder the terms:
6(-1 + x) + 2(x + 1) = 10 + -5x
(-1 * 6 + x * 6) + 2(x + 1) = 10 + -5x
(-6 + 6x) + 2(x + 1) = 10 + -5x

Reorder the terms:
-6 + 6x + 2(1 + x) = 10 + -5x
-6 + 6x + (1 * 2 + x * 2) = 10 + -5x
-6 + 6x + (2 + 2x) = 10 + -5x

Reorder the terms:
-6 + 2 + 6x + 2x = 10 + -5x

Combine like terms: -6 + 2 = -4
-4 + 6x + 2x = 10 + -5x

Combine like terms: 6x + 2x = 8x
-4 + 8x = 10 + -5x

Solving
-4 + 8x = 10 + -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.
-4 + 8x + 5x = 10 + -5x + 5x

Combine like terms: 8x + 5x = 13x
-4 + 13x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-4 + 13x = 10 + 0
-4 + 13x = 10

Add '4' to each side of the equation.
-4 + 4 + 13x = 10 + 4

Combine like terms: -4 + 4 = 0
0 + 13x = 10 + 4
13x = 10 + 4

Combine like terms: 10 + 4 = 14
13x = 14

Divide each side by '13'.
x = 1.076923077

Simplifying
x = 1.076923077

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