5(x-4)=2(x+6)-3

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


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

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

Reorder the terms:
-20 + 5x = 2(6 + x) + -3
-20 + 5x = (6 * 2 + x * 2) + -3
-20 + 5x = (12 + 2x) + -3

Reorder the terms:
-20 + 5x = 12 + -3 + 2x

Combine like terms: 12 + -3 = 9
-20 + 5x = 9 + 2x

Solving
-20 + 5x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-20 + 5x + -2x = 9 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-20 + 3x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 3x = 9 + 0
-20 + 3x = 9

Add '20' to each side of the equation.
-20 + 20 + 3x = 9 + 20

Combine like terms: -20 + 20 = 0
0 + 3x = 9 + 20
3x = 9 + 20

Combine like terms: 9 + 20 = 29
3x = 29

Divide each side by '3'.
x = 9.666666667

Simplifying
x = 9.666666667

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