10(x+3)=4(2x+9)+4x

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Solution for 10(x+3)=4(2x+9)+4x equation: 


Simplifying
10(x + 3) = 4(2x + 9) + 4x

Reorder the terms:
10(3 + x) = 4(2x + 9) + 4x
(3 * 10 + x * 10) = 4(2x + 9) + 4x
(30 + 10x) = 4(2x + 9) + 4x

Reorder the terms:
30 + 10x = 4(9 + 2x) + 4x
30 + 10x = (9 * 4 + 2x * 4) + 4x
30 + 10x = (36 + 8x) + 4x

Combine like terms: 8x + 4x = 12x
30 + 10x = 36 + 12x

Solving
30 + 10x = 36 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
30 + 10x + -12x = 36 + 12x + -12x

Combine like terms: 10x + -12x = -2x
30 + -2x = 36 + 12x + -12x

Combine like terms: 12x + -12x = 0
30 + -2x = 36 + 0
30 + -2x = 36

Add '-30' to each side of the equation.
30 + -30 + -2x = 36 + -30

Combine like terms: 30 + -30 = 0
0 + -2x = 36 + -30
-2x = 36 + -30

Combine like terms: 36 + -30 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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