(10x-7)-3(3x+2)=-5

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Solution for (10x-7)-3(3x+2)=-5 equation:


Simplifying
(10x + -7) + -3(3x + 2) = -5

Reorder the terms:
(-7 + 10x) + -3(3x + 2) = -5

Remove parenthesis around (-7 + 10x)
-7 + 10x + -3(3x + 2) = -5

Reorder the terms:
-7 + 10x + -3(2 + 3x) = -5
-7 + 10x + (2 * -3 + 3x * -3) = -5
-7 + 10x + (-6 + -9x) = -5

Reorder the terms:
-7 + -6 + 10x + -9x = -5

Combine like terms: -7 + -6 = -13
-13 + 10x + -9x = -5

Combine like terms: 10x + -9x = 1x
-13 + 1x = -5

Solving
-13 + 1x = -5

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 1x = -5 + 13

Combine like terms: -13 + 13 = 0
0 + 1x = -5 + 13
1x = -5 + 13

Combine like terms: -5 + 13 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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