7(x-2)-5(x+1)=15

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Solution for 7(x-2)-5(x+1)=15 equation:


Simplifying
7(x + -2) + -5(x + 1) = 15

Reorder the terms:
7(-2 + x) + -5(x + 1) = 15
(-2 * 7 + x * 7) + -5(x + 1) = 15
(-14 + 7x) + -5(x + 1) = 15

Reorder the terms:
-14 + 7x + -5(1 + x) = 15
-14 + 7x + (1 * -5 + x * -5) = 15
-14 + 7x + (-5 + -5x) = 15

Reorder the terms:
-14 + -5 + 7x + -5x = 15

Combine like terms: -14 + -5 = -19
-19 + 7x + -5x = 15

Combine like terms: 7x + -5x = 2x
-19 + 2x = 15

Solving
-19 + 2x = 15

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 2x = 15 + 19

Combine like terms: -19 + 19 = 0
0 + 2x = 15 + 19
2x = 15 + 19

Combine like terms: 15 + 19 = 34
2x = 34

Divide each side by '2'.
x = 17

Simplifying
x = 17

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