2(x+4)-5(x+3)=8

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Solution for 2(x+4)-5(x+3)=8 equation:


Simplifying
2(x + 4) + -5(x + 3) = 8

Reorder the terms:
2(4 + x) + -5(x + 3) = 8
(4 * 2 + x * 2) + -5(x + 3) = 8
(8 + 2x) + -5(x + 3) = 8

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

Reorder the terms:
8 + -15 + 2x + -5x = 8

Combine like terms: 8 + -15 = -7
-7 + 2x + -5x = 8

Combine like terms: 2x + -5x = -3x
-7 + -3x = 8

Solving
-7 + -3x = 8

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + -3x = 8 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 8 + 7
-3x = 8 + 7

Combine like terms: 8 + 7 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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