-3*(x-5)-2*(2x+1)=-8

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Solution for -3*(x-5)-2*(2x+1)=-8 equation:


Simplifying
-3(x + -5) + -2(2x + 1) = -8

Reorder the terms:
-3(-5 + x) + -2(2x + 1) = -8
(-5 * -3 + x * -3) + -2(2x + 1) = -8
(15 + -3x) + -2(2x + 1) = -8

Reorder the terms:
15 + -3x + -2(1 + 2x) = -8
15 + -3x + (1 * -2 + 2x * -2) = -8
15 + -3x + (-2 + -4x) = -8

Reorder the terms:
15 + -2 + -3x + -4x = -8

Combine like terms: 15 + -2 = 13
13 + -3x + -4x = -8

Combine like terms: -3x + -4x = -7x
13 + -7x = -8

Solving
13 + -7x = -8

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 + -7x = -8 + -13

Combine like terms: 13 + -13 = 0
0 + -7x = -8 + -13
-7x = -8 + -13

Combine like terms: -8 + -13 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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