4(x+6)-5(x+3)=8

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Solution for 4(x+6)-5(x+3)=8 equation:


Simplifying
4(x + 6) + -5(x + 3) = 8

Reorder the terms:
4(6 + x) + -5(x + 3) = 8
(6 * 4 + x * 4) + -5(x + 3) = 8
(24 + 4x) + -5(x + 3) = 8

Reorder the terms:
24 + 4x + -5(3 + x) = 8
24 + 4x + (3 * -5 + x * -5) = 8
24 + 4x + (-15 + -5x) = 8

Reorder the terms:
24 + -15 + 4x + -5x = 8

Combine like terms: 24 + -15 = 9
9 + 4x + -5x = 8

Combine like terms: 4x + -5x = -1x
9 + -1x = 8

Solving
9 + -1x = 8

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 8 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 8 + -9
-1x = 8 + -9

Combine like terms: 8 + -9 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1

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