3x+4(3x-3)=8x-16

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Solution for 3x+4(3x-3)=8x-16 equation:


Simplifying
3x + 4(3x + -3) = 8x + -16

Reorder the terms:
3x + 4(-3 + 3x) = 8x + -16
3x + (-3 * 4 + 3x * 4) = 8x + -16
3x + (-12 + 12x) = 8x + -16

Reorder the terms:
-12 + 3x + 12x = 8x + -16

Combine like terms: 3x + 12x = 15x
-12 + 15x = 8x + -16

Reorder the terms:
-12 + 15x = -16 + 8x

Solving
-12 + 15x = -16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-12 + 15x + -8x = -16 + 8x + -8x

Combine like terms: 15x + -8x = 7x
-12 + 7x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + 7x = -16 + 0
-12 + 7x = -16

Add '12' to each side of the equation.
-12 + 12 + 7x = -16 + 12

Combine like terms: -12 + 12 = 0
0 + 7x = -16 + 12
7x = -16 + 12

Combine like terms: -16 + 12 = -4
7x = -4

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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