12-3(2x+1)=5x-3(5+x)

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Solution for 12-3(2x+1)=5x-3(5+x) equation:


Simplifying
12 + -3(2x + 1) = 5x + -3(5 + x)

Reorder the terms:
12 + -3(1 + 2x) = 5x + -3(5 + x)
12 + (1 * -3 + 2x * -3) = 5x + -3(5 + x)
12 + (-3 + -6x) = 5x + -3(5 + x)

Combine like terms: 12 + -3 = 9
9 + -6x = 5x + -3(5 + x)
9 + -6x = 5x + (5 * -3 + x * -3)
9 + -6x = 5x + (-15 + -3x)

Reorder the terms:
9 + -6x = -15 + 5x + -3x

Combine like terms: 5x + -3x = 2x
9 + -6x = -15 + 2x

Solving
9 + -6x = -15 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
9 + -6x + -2x = -15 + 2x + -2x

Combine like terms: -6x + -2x = -8x
9 + -8x = -15 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -8x = -15 + 0
9 + -8x = -15

Add '-9' to each side of the equation.
9 + -9 + -8x = -15 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = -15 + -9
-8x = -15 + -9

Combine like terms: -15 + -9 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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