5(x-20-3x+4)=3(6x-8)+10

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Solution for 5(x-20-3x+4)=3(6x-8)+10 equation:


Simplifying
5(x + -20 + -3x + 4) = 3(6x + -8) + 10

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

Combine like terms: -20 + 4 = -16
5(-16 + x + -3x) = 3(6x + -8) + 10

Combine like terms: x + -3x = -2x
5(-16 + -2x) = 3(6x + -8) + 10
(-16 * 5 + -2x * 5) = 3(6x + -8) + 10
(-80 + -10x) = 3(6x + -8) + 10

Reorder the terms:
-80 + -10x = 3(-8 + 6x) + 10
-80 + -10x = (-8 * 3 + 6x * 3) + 10
-80 + -10x = (-24 + 18x) + 10

Reorder the terms:
-80 + -10x = -24 + 10 + 18x

Combine like terms: -24 + 10 = -14
-80 + -10x = -14 + 18x

Solving
-80 + -10x = -14 + 18x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-18x' to each side of the equation.
-80 + -10x + -18x = -14 + 18x + -18x

Combine like terms: -10x + -18x = -28x
-80 + -28x = -14 + 18x + -18x

Combine like terms: 18x + -18x = 0
-80 + -28x = -14 + 0
-80 + -28x = -14

Add '80' to each side of the equation.
-80 + 80 + -28x = -14 + 80

Combine like terms: -80 + 80 = 0
0 + -28x = -14 + 80
-28x = -14 + 80

Combine like terms: -14 + 80 = 66
-28x = 66

Divide each side by '-28'.
x = -2.357142857

Simplifying
x = -2.357142857

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