6(x-1)+4(x-1)=4(3-x)-2(x-5)

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Solution for 6(x-1)+4(x-1)=4(3-x)-2(x-5) equation: 


Simplifying
6(x + -1) + 4(x + -1) = 4(3 + -1x) + -2(x + -5)

Reorder the terms:
6(-1 + x) + 4(x + -1) = 4(3 + -1x) + -2(x + -5)
(-1 * 6 + x * 6) + 4(x + -1) = 4(3 + -1x) + -2(x + -5)
(-6 + 6x) + 4(x + -1) = 4(3 + -1x) + -2(x + -5)

Reorder the terms:
-6 + 6x + 4(-1 + x) = 4(3 + -1x) + -2(x + -5)
-6 + 6x + (-1 * 4 + x * 4) = 4(3 + -1x) + -2(x + -5)
-6 + 6x + (-4 + 4x) = 4(3 + -1x) + -2(x + -5)

Reorder the terms:
-6 + -4 + 6x + 4x = 4(3 + -1x) + -2(x + -5)

Combine like terms: -6 + -4 = -10
-10 + 6x + 4x = 4(3 + -1x) + -2(x + -5)

Combine like terms: 6x + 4x = 10x
-10 + 10x = 4(3 + -1x) + -2(x + -5)
-10 + 10x = (3 * 4 + -1x * 4) + -2(x + -5)
-10 + 10x = (12 + -4x) + -2(x + -5)

Reorder the terms:
-10 + 10x = 12 + -4x + -2(-5 + x)
-10 + 10x = 12 + -4x + (-5 * -2 + x * -2)
-10 + 10x = 12 + -4x + (10 + -2x)

Reorder the terms:
-10 + 10x = 12 + 10 + -4x + -2x

Combine like terms: 12 + 10 = 22
-10 + 10x = 22 + -4x + -2x

Combine like terms: -4x + -2x = -6x
-10 + 10x = 22 + -6x

Solving
-10 + 10x = 22 + -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.
-10 + 10x + 6x = 22 + -6x + 6x

Combine like terms: 10x + 6x = 16x
-10 + 16x = 22 + -6x + 6x

Combine like terms: -6x + 6x = 0
-10 + 16x = 22 + 0
-10 + 16x = 22

Add '10' to each side of the equation.
-10 + 10 + 16x = 22 + 10

Combine like terms: -10 + 10 = 0
0 + 16x = 22 + 10
16x = 22 + 10

Combine like terms: 22 + 10 = 32
16x = 32

Divide each side by '16'.
x = 2

Simplifying
x = 2

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