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

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


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

Reorder the terms:
3(-6 + 2x) + 2(x + 3) = 4(x + -5)
(-6 * 3 + 2x * 3) + 2(x + 3) = 4(x + -5)
(-18 + 6x) + 2(x + 3) = 4(x + -5)

Reorder the terms:
-18 + 6x + 2(3 + x) = 4(x + -5)
-18 + 6x + (3 * 2 + x * 2) = 4(x + -5)
-18 + 6x + (6 + 2x) = 4(x + -5)

Reorder the terms:
-18 + 6 + 6x + 2x = 4(x + -5)

Combine like terms: -18 + 6 = -12
-12 + 6x + 2x = 4(x + -5)

Combine like terms: 6x + 2x = 8x
-12 + 8x = 4(x + -5)

Reorder the terms:
-12 + 8x = 4(-5 + x)
-12 + 8x = (-5 * 4 + x * 4)
-12 + 8x = (-20 + 4x)

Solving
-12 + 8x = -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.
-12 + 8x + -4x = -20 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-12 + 4x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 4x = -20 + 0
-12 + 4x = -20

Add '12' to each side of the equation.
-12 + 12 + 4x = -20 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = -20 + 12
4x = -20 + 12

Combine like terms: -20 + 12 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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