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

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Solution for 6(x-3)+10=-2(3x-4) equation:


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

Reorder the terms:
6(-3 + x) + 10 = -2(3x + -4)
(-3 * 6 + x * 6) + 10 = -2(3x + -4)
(-18 + 6x) + 10 = -2(3x + -4)

Reorder the terms:
-18 + 10 + 6x = -2(3x + -4)

Combine like terms: -18 + 10 = -8
-8 + 6x = -2(3x + -4)

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

Solving
-8 + 6x = 8 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-8 + 6x + 6x = 8 + -6x + 6x

Combine like terms: 6x + 6x = 12x
-8 + 12x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
-8 + 12x = 8 + 0
-8 + 12x = 8

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

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

Combine like terms: 8 + 8 = 16
12x = 16

Divide each side by '12'.
x = 1.333333333

Simplifying
x = 1.333333333

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