5(x-6)-2(x+2)=23

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Solution for 5(x-6)-2(x+2)=23 equation:


Simplifying
5(x + -6) + -2(x + 2) = 23

Reorder the terms:
5(-6 + x) + -2(x + 2) = 23
(-6 * 5 + x * 5) + -2(x + 2) = 23
(-30 + 5x) + -2(x + 2) = 23

Reorder the terms:
-30 + 5x + -2(2 + x) = 23
-30 + 5x + (2 * -2 + x * -2) = 23
-30 + 5x + (-4 + -2x) = 23

Reorder the terms:
-30 + -4 + 5x + -2x = 23

Combine like terms: -30 + -4 = -34
-34 + 5x + -2x = 23

Combine like terms: 5x + -2x = 3x
-34 + 3x = 23

Solving
-34 + 3x = 23

Solving for variable 'x'.

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

Add '34' to each side of the equation.
-34 + 34 + 3x = 23 + 34

Combine like terms: -34 + 34 = 0
0 + 3x = 23 + 34
3x = 23 + 34

Combine like terms: 23 + 34 = 57
3x = 57

Divide each side by '3'.
x = 19

Simplifying
x = 19

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