5(2x-4)-6(x+4)-3(8-8)=2x-(1-x)-19

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Solution for 5(2x-4)-6(x+4)-3(8-8)=2x-(1-x)-19 equation:


Simplifying
5(2x + -4) + -6(x + 4) + -3(8 + -8) = 2x + -1(1 + -1x) + -19

Reorder the terms:
5(-4 + 2x) + -6(x + 4) + -3(8 + -8) = 2x + -1(1 + -1x) + -19
(-4 * 5 + 2x * 5) + -6(x + 4) + -3(8 + -8) = 2x + -1(1 + -1x) + -19
(-20 + 10x) + -6(x + 4) + -3(8 + -8) = 2x + -1(1 + -1x) + -19

Reorder the terms:
-20 + 10x + -6(4 + x) + -3(8 + -8) = 2x + -1(1 + -1x) + -19
-20 + 10x + (4 * -6 + x * -6) + -3(8 + -8) = 2x + -1(1 + -1x) + -19
-20 + 10x + (-24 + -6x) + -3(8 + -8) = 2x + -1(1 + -1x) + -19

Combine like terms: 8 + -8 = 0
-20 + 10x + -24 + -6x + -3(0) = 2x + -1(1 + -1x) + -19

Multiply -3 * 0
-20 + 10x + -24 + -6x + 0 = 2x + -1(1 + -1x) + -19

Anything times zero is zero.
-20 + 10x + -24 + -6x + 0 = 2x + -1(1 + -1x) + -19

Reorder the terms:
-20 + -24 + 0 + 10x + -6x = 2x + -1(1 + -1x) + -19

Combine like terms: -20 + -24 = -44
-44 + 0 + 10x + -6x = 2x + -1(1 + -1x) + -19

Combine like terms: -44 + 0 = -44
-44 + 10x + -6x = 2x + -1(1 + -1x) + -19

Combine like terms: 10x + -6x = 4x
-44 + 4x = 2x + -1(1 + -1x) + -19
-44 + 4x = 2x + (1 * -1 + -1x * -1) + -19
-44 + 4x = 2x + (-1 + 1x) + -19

Reorder the terms:
-44 + 4x = -1 + -19 + 2x + 1x

Combine like terms: -1 + -19 = -20
-44 + 4x = -20 + 2x + 1x

Combine like terms: 2x + 1x = 3x
-44 + 4x = -20 + 3x

Solving
-44 + 4x = -20 + 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.
-44 + 4x + -3x = -20 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-44 + 1x = -20 + 3x + -3x

Combine like terms: 3x + -3x = 0
-44 + 1x = -20 + 0
-44 + 1x = -20

Add '44' to each side of the equation.
-44 + 44 + 1x = -20 + 44

Combine like terms: -44 + 44 = 0
0 + 1x = -20 + 44
1x = -20 + 44

Combine like terms: -20 + 44 = 24
1x = 24

Divide each side by '1'.
x = 24

Simplifying
x = 24

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