6(x+2)=36-10x

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Solution for 6(x+2)=36-10x equation:


Simplifying
6(x + 2) = 36 + -10x

Reorder the terms:
6(2 + x) = 36 + -10x
(2 * 6 + x * 6) = 36 + -10x
(12 + 6x) = 36 + -10x

Solving
12 + 6x = 36 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
12 + 6x + 10x = 36 + -10x + 10x

Combine like terms: 6x + 10x = 16x
12 + 16x = 36 + -10x + 10x

Combine like terms: -10x + 10x = 0
12 + 16x = 36 + 0
12 + 16x = 36

Add '-12' to each side of the equation.
12 + -12 + 16x = 36 + -12

Combine like terms: 12 + -12 = 0
0 + 16x = 36 + -12
16x = 36 + -12

Combine like terms: 36 + -12 = 24
16x = 24

Divide each side by '16'.
x = 1.5

Simplifying
x = 1.5

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