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

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


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

Reorder the terms:
3x + -4(-2 + 3x) = 10(x + 2)
3x + (-2 * -4 + 3x * -4) = 10(x + 2)
3x + (8 + -12x) = 10(x + 2)

Reorder the terms:
8 + 3x + -12x = 10(x + 2)

Combine like terms: 3x + -12x = -9x
8 + -9x = 10(x + 2)

Reorder the terms:
8 + -9x = 10(2 + x)
8 + -9x = (2 * 10 + x * 10)
8 + -9x = (20 + 10x)

Solving
8 + -9x = 20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
8 + -9x + -10x = 20 + 10x + -10x

Combine like terms: -9x + -10x = -19x
8 + -19x = 20 + 10x + -10x

Combine like terms: 10x + -10x = 0
8 + -19x = 20 + 0
8 + -19x = 20

Add '-8' to each side of the equation.
8 + -8 + -19x = 20 + -8

Combine like terms: 8 + -8 = 0
0 + -19x = 20 + -8
-19x = 20 + -8

Combine like terms: 20 + -8 = 12
-19x = 12

Divide each side by '-19'.
x = -0.6315789474

Simplifying
x = -0.6315789474

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