-5(x+2)-3(x+4)=10

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Solution for -5(x+2)-3(x+4)=10 equation: 


Simplifying
-5(x + 2) + -3(x + 4) = 10

Reorder the terms:
-5(2 + x) + -3(x + 4) = 10
(2 * -5 + x * -5) + -3(x + 4) = 10
(-10 + -5x) + -3(x + 4) = 10

Reorder the terms:
-10 + -5x + -3(4 + x) = 10
-10 + -5x + (4 * -3 + x * -3) = 10
-10 + -5x + (-12 + -3x) = 10

Reorder the terms:
-10 + -12 + -5x + -3x = 10

Combine like terms: -10 + -12 = -22
-22 + -5x + -3x = 10

Combine like terms: -5x + -3x = -8x
-22 + -8x = 10

Solving
-22 + -8x = 10

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + -8x = 10 + 22

Combine like terms: -22 + 22 = 0
0 + -8x = 10 + 22
-8x = 10 + 22

Combine like terms: 10 + 22 = 32
-8x = 32

Divide each side by '-8'.
x = -4

Simplifying
x = -4

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