6(x-6)+12+2x=10(x+3)-(4x+10)

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Solution for 6(x-6)+12+2x=10(x+3)-(4x+10) equation:


Simplifying
6(x + -6) + 12 + 2x = 10(x + 3) + -1(4x + 10)

Reorder the terms:
6(-6 + x) + 12 + 2x = 10(x + 3) + -1(4x + 10)
(-6 * 6 + x * 6) + 12 + 2x = 10(x + 3) + -1(4x + 10)
(-36 + 6x) + 12 + 2x = 10(x + 3) + -1(4x + 10)

Reorder the terms:
-36 + 12 + 6x + 2x = 10(x + 3) + -1(4x + 10)

Combine like terms: -36 + 12 = -24
-24 + 6x + 2x = 10(x + 3) + -1(4x + 10)

Combine like terms: 6x + 2x = 8x
-24 + 8x = 10(x + 3) + -1(4x + 10)

Reorder the terms:
-24 + 8x = 10(3 + x) + -1(4x + 10)
-24 + 8x = (3 * 10 + x * 10) + -1(4x + 10)
-24 + 8x = (30 + 10x) + -1(4x + 10)

Reorder the terms:
-24 + 8x = 30 + 10x + -1(10 + 4x)
-24 + 8x = 30 + 10x + (10 * -1 + 4x * -1)
-24 + 8x = 30 + 10x + (-10 + -4x)

Reorder the terms:
-24 + 8x = 30 + -10 + 10x + -4x

Combine like terms: 30 + -10 = 20
-24 + 8x = 20 + 10x + -4x

Combine like terms: 10x + -4x = 6x
-24 + 8x = 20 + 6x

Solving
-24 + 8x = 20 + 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.
-24 + 8x + -6x = 20 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-24 + 2x = 20 + 6x + -6x

Combine like terms: 6x + -6x = 0
-24 + 2x = 20 + 0
-24 + 2x = 20

Add '24' to each side of the equation.
-24 + 24 + 2x = 20 + 24

Combine like terms: -24 + 24 = 0
0 + 2x = 20 + 24
2x = 20 + 24

Combine like terms: 20 + 24 = 44
2x = 44

Divide each side by '2'.
x = 22

Simplifying
x = 22

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