4(-2x+9)=x+3(2x+12)

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Solution for 4(-2x+9)=x+3(2x+12) equation:


Simplifying
4(-2x + 9) = x + 3(2x + 12)

Reorder the terms:
4(9 + -2x) = x + 3(2x + 12)
(9 * 4 + -2x * 4) = x + 3(2x + 12)
(36 + -8x) = x + 3(2x + 12)

Reorder the terms:
36 + -8x = x + 3(12 + 2x)
36 + -8x = x + (12 * 3 + 2x * 3)
36 + -8x = x + (36 + 6x)

Reorder the terms:
36 + -8x = 36 + x + 6x

Combine like terms: x + 6x = 7x
36 + -8x = 36 + 7x

Add '-36' to each side of the equation.
36 + -36 + -8x = 36 + -36 + 7x

Combine like terms: 36 + -36 = 0
0 + -8x = 36 + -36 + 7x
-8x = 36 + -36 + 7x

Combine like terms: 36 + -36 = 0
-8x = 0 + 7x
-8x = 7x

Solving
-8x = 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-8x + -7x = 7x + -7x

Combine like terms: -8x + -7x = -15x
-15x = 7x + -7x

Combine like terms: 7x + -7x = 0
-15x = 0

Divide each side by '-15'.
x = 0

Simplifying
x = 0

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