3(x-4)=8x-3(3+2x)

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Solution for 3(x-4)=8x-3(3+2x) equation:


Simplifying
3(x + -4) = 8x + -3(3 + 2x)

Reorder the terms:
3(-4 + x) = 8x + -3(3 + 2x)
(-4 * 3 + x * 3) = 8x + -3(3 + 2x)
(-12 + 3x) = 8x + -3(3 + 2x)
-12 + 3x = 8x + (3 * -3 + 2x * -3)
-12 + 3x = 8x + (-9 + -6x)

Reorder the terms:
-12 + 3x = -9 + 8x + -6x

Combine like terms: 8x + -6x = 2x
-12 + 3x = -9 + 2x

Solving
-12 + 3x = -9 + 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.
-12 + 3x + -2x = -9 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-12 + 1x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 1x = -9 + 0
-12 + 1x = -9

Add '12' to each side of the equation.
-12 + 12 + 1x = -9 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = -9 + 12
1x = -9 + 12

Combine like terms: -9 + 12 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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