12(x+2)+6(x+3)=10x+8

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Solution for 12(x+2)+6(x+3)=10x+8 equation:


Simplifying
12(x + 2) + 6(x + 3) = 10x + 8

Reorder the terms:
12(2 + x) + 6(x + 3) = 10x + 8
(2 * 12 + x * 12) + 6(x + 3) = 10x + 8
(24 + 12x) + 6(x + 3) = 10x + 8

Reorder the terms:
24 + 12x + 6(3 + x) = 10x + 8
24 + 12x + (3 * 6 + x * 6) = 10x + 8
24 + 12x + (18 + 6x) = 10x + 8

Reorder the terms:
24 + 18 + 12x + 6x = 10x + 8

Combine like terms: 24 + 18 = 42
42 + 12x + 6x = 10x + 8

Combine like terms: 12x + 6x = 18x
42 + 18x = 10x + 8

Reorder the terms:
42 + 18x = 8 + 10x

Solving
42 + 18x = 8 + 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.
42 + 18x + -10x = 8 + 10x + -10x

Combine like terms: 18x + -10x = 8x
42 + 8x = 8 + 10x + -10x

Combine like terms: 10x + -10x = 0
42 + 8x = 8 + 0
42 + 8x = 8

Add '-42' to each side of the equation.
42 + -42 + 8x = 8 + -42

Combine like terms: 42 + -42 = 0
0 + 8x = 8 + -42
8x = 8 + -42

Combine like terms: 8 + -42 = -34
8x = -34

Divide each side by '8'.
x = -4.25

Simplifying
x = -4.25

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