-2(3x-5)+6x=4-3(x-4)

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Solution for -2(3x-5)+6x=4-3(x-4) equation: 


Simplifying
-2(3x + -5) + 6x = 4 + -3(x + -4)

Reorder the terms:
-2(-5 + 3x) + 6x = 4 + -3(x + -4)
(-5 * -2 + 3x * -2) + 6x = 4 + -3(x + -4)
(10 + -6x) + 6x = 4 + -3(x + -4)

Combine like terms: -6x + 6x = 0
10 + 0 = 4 + -3(x + -4)
10 = 4 + -3(x + -4)

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

Combine like terms: 4 + 12 = 16
10 = 16 + -3x

Solving
10 = 16 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
10 + 3x = 16 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + 3x = 16 + 0
10 + 3x = 16

Add '-10' to each side of the equation.
10 + -10 + 3x = 16 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 16 + -10
3x = 16 + -10

Combine like terms: 16 + -10 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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