5(x-3)-2(x+6)=60

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Solution for 5(x-3)-2(x+6)=60 equation:


Simplifying
5(x + -3) + -2(x + 6) = 60

Reorder the terms:
5(-3 + x) + -2(x + 6) = 60
(-3 * 5 + x * 5) + -2(x + 6) = 60
(-15 + 5x) + -2(x + 6) = 60

Reorder the terms:
-15 + 5x + -2(6 + x) = 60
-15 + 5x + (6 * -2 + x * -2) = 60
-15 + 5x + (-12 + -2x) = 60

Reorder the terms:
-15 + -12 + 5x + -2x = 60

Combine like terms: -15 + -12 = -27
-27 + 5x + -2x = 60

Combine like terms: 5x + -2x = 3x
-27 + 3x = 60

Solving
-27 + 3x = 60

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 3x = 60 + 27

Combine like terms: -27 + 27 = 0
0 + 3x = 60 + 27
3x = 60 + 27

Combine like terms: 60 + 27 = 87
3x = 87

Divide each side by '3'.
x = 29

Simplifying
x = 29

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