7(x-3)-2(x+4)=15

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Solution for 7(x-3)-2(x+4)=15 equation:


Simplifying
7(x + -3) + -2(x + 4) = 15

Reorder the terms:
7(-3 + x) + -2(x + 4) = 15
(-3 * 7 + x * 7) + -2(x + 4) = 15
(-21 + 7x) + -2(x + 4) = 15

Reorder the terms:
-21 + 7x + -2(4 + x) = 15
-21 + 7x + (4 * -2 + x * -2) = 15
-21 + 7x + (-8 + -2x) = 15

Reorder the terms:
-21 + -8 + 7x + -2x = 15

Combine like terms: -21 + -8 = -29
-29 + 7x + -2x = 15

Combine like terms: 7x + -2x = 5x
-29 + 5x = 15

Solving
-29 + 5x = 15

Solving for variable 'x'.

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

Add '29' to each side of the equation.
-29 + 29 + 5x = 15 + 29

Combine like terms: -29 + 29 = 0
0 + 5x = 15 + 29
5x = 15 + 29

Combine like terms: 15 + 29 = 44
5x = 44

Divide each side by '5'.
x = 8.8

Simplifying
x = 8.8

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