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

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Solution for 2(3x-4)-6(x+1)=-x+4(x+10) equation:


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

Reorder the terms:
2(-4 + 3x) + -6(x + 1) = -1x + 4(x + 10)
(-4 * 2 + 3x * 2) + -6(x + 1) = -1x + 4(x + 10)
(-8 + 6x) + -6(x + 1) = -1x + 4(x + 10)

Reorder the terms:
-8 + 6x + -6(1 + x) = -1x + 4(x + 10)
-8 + 6x + (1 * -6 + x * -6) = -1x + 4(x + 10)
-8 + 6x + (-6 + -6x) = -1x + 4(x + 10)

Reorder the terms:
-8 + -6 + 6x + -6x = -1x + 4(x + 10)

Combine like terms: -8 + -6 = -14
-14 + 6x + -6x = -1x + 4(x + 10)

Combine like terms: 6x + -6x = 0
-14 + 0 = -1x + 4(x + 10)
-14 = -1x + 4(x + 10)

Reorder the terms:
-14 = -1x + 4(10 + x)
-14 = -1x + (10 * 4 + x * 4)
-14 = -1x + (40 + 4x)

Reorder the terms:
-14 = 40 + -1x + 4x

Combine like terms: -1x + 4x = 3x
-14 = 40 + 3x

Solving
-14 = 40 + 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.
-14 + -3x = 40 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + -3x = 40 + 0
-14 + -3x = 40

Add '14' to each side of the equation.
-14 + 14 + -3x = 40 + 14

Combine like terms: -14 + 14 = 0
0 + -3x = 40 + 14
-3x = 40 + 14

Combine like terms: 40 + 14 = 54
-3x = 54

Divide each side by '-3'.
x = -18

Simplifying
x = -18

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