3(x-1)+2(x-6)=54

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Solution for 3(x-1)+2(x-6)=54 equation:


Simplifying
3(x + -1) + 2(x + -6) = 54

Reorder the terms:
3(-1 + x) + 2(x + -6) = 54
(-1 * 3 + x * 3) + 2(x + -6) = 54
(-3 + 3x) + 2(x + -6) = 54

Reorder the terms:
-3 + 3x + 2(-6 + x) = 54
-3 + 3x + (-6 * 2 + x * 2) = 54
-3 + 3x + (-12 + 2x) = 54

Reorder the terms:
-3 + -12 + 3x + 2x = 54

Combine like terms: -3 + -12 = -15
-15 + 3x + 2x = 54

Combine like terms: 3x + 2x = 5x
-15 + 5x = 54

Solving
-15 + 5x = 54

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 5x = 54 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 54 + 15
5x = 54 + 15

Combine like terms: 54 + 15 = 69
5x = 69

Divide each side by '5'.
x = 13.8

Simplifying
x = 13.8

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