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

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


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

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

Reorder the terms:
4 + 6 + -6x = 4(x + -5)

Combine like terms: 4 + 6 = 10
10 + -6x = 4(x + -5)

Reorder the terms:
10 + -6x = 4(-5 + x)
10 + -6x = (-5 * 4 + x * 4)
10 + -6x = (-20 + 4x)

Solving
10 + -6x = -20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + -6x + -4x = -20 + 4x + -4x

Combine like terms: -6x + -4x = -10x
10 + -10x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -10x = -20 + 0
10 + -10x = -20

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

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

Combine like terms: -20 + -10 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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