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

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


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

Reorder the terms:
6(10 + x) + -3(2x + 12) = -4x + 4
(10 * 6 + x * 6) + -3(2x + 12) = -4x + 4
(60 + 6x) + -3(2x + 12) = -4x + 4

Reorder the terms:
60 + 6x + -3(12 + 2x) = -4x + 4
60 + 6x + (12 * -3 + 2x * -3) = -4x + 4
60 + 6x + (-36 + -6x) = -4x + 4

Reorder the terms:
60 + -36 + 6x + -6x = -4x + 4

Combine like terms: 60 + -36 = 24
24 + 6x + -6x = -4x + 4

Combine like terms: 6x + -6x = 0
24 + 0 = -4x + 4
24 = -4x + 4

Reorder the terms:
24 = 4 + -4x

Solving
24 = 4 + -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.
24 + 4x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
24 + 4x = 4 + 0
24 + 4x = 4

Add '-24' to each side of the equation.
24 + -24 + 4x = 4 + -24

Combine like terms: 24 + -24 = 0
0 + 4x = 4 + -24
4x = 4 + -24

Combine like terms: 4 + -24 = -20
4x = -20

Divide each side by '4'.
x = -5

Simplifying
x = -5

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