3(x+4)-5(x-6)=7

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Solution for 3(x+4)-5(x-6)=7 equation: 


Simplifying
3(x + 4) + -5(x + -6) = 7

Reorder the terms:
3(4 + x) + -5(x + -6) = 7
(4 * 3 + x * 3) + -5(x + -6) = 7
(12 + 3x) + -5(x + -6) = 7

Reorder the terms:
12 + 3x + -5(-6 + x) = 7
12 + 3x + (-6 * -5 + x * -5) = 7
12 + 3x + (30 + -5x) = 7

Reorder the terms:
12 + 30 + 3x + -5x = 7

Combine like terms: 12 + 30 = 42
42 + 3x + -5x = 7

Combine like terms: 3x + -5x = -2x
42 + -2x = 7

Solving
42 + -2x = 7

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + -2x = 7 + -42

Combine like terms: 42 + -42 = 0
0 + -2x = 7 + -42
-2x = 7 + -42

Combine like terms: 7 + -42 = -35
-2x = -35

Divide each side by '-2'.
x = 17.5

Simplifying
x = 17.5

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