3(x-23)+2(x-4)=13

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Solution for 3(x-23)+2(x-4)=13 equation: 


Simplifying
3(x + -23) + 2(x + -4) = 13

Reorder the terms:
3(-23 + x) + 2(x + -4) = 13
(-23 * 3 + x * 3) + 2(x + -4) = 13
(-69 + 3x) + 2(x + -4) = 13

Reorder the terms:
-69 + 3x + 2(-4 + x) = 13
-69 + 3x + (-4 * 2 + x * 2) = 13
-69 + 3x + (-8 + 2x) = 13

Reorder the terms:
-69 + -8 + 3x + 2x = 13

Combine like terms: -69 + -8 = -77
-77 + 3x + 2x = 13

Combine like terms: 3x + 2x = 5x
-77 + 5x = 13

Solving
-77 + 5x = 13

Solving for variable 'x'.

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

Add '77' to each side of the equation.
-77 + 77 + 5x = 13 + 77

Combine like terms: -77 + 77 = 0
0 + 5x = 13 + 77
5x = 13 + 77

Combine like terms: 13 + 77 = 90
5x = 90

Divide each side by '5'.
x = 18

Simplifying
x = 18

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