5(x+2)-3(x+4)=29

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Solution for 5(x+2)-3(x+4)=29 equation:


Simplifying
5(x + 2) + -3(x + 4) = 29

Reorder the terms:
5(2 + x) + -3(x + 4) = 29
(2 * 5 + x * 5) + -3(x + 4) = 29
(10 + 5x) + -3(x + 4) = 29

Reorder the terms:
10 + 5x + -3(4 + x) = 29
10 + 5x + (4 * -3 + x * -3) = 29
10 + 5x + (-12 + -3x) = 29

Reorder the terms:
10 + -12 + 5x + -3x = 29

Combine like terms: 10 + -12 = -2
-2 + 5x + -3x = 29

Combine like terms: 5x + -3x = 2x
-2 + 2x = 29

Solving
-2 + 2x = 29

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 2x = 29 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = 29 + 2
2x = 29 + 2

Combine like terms: 29 + 2 = 31
2x = 31

Divide each side by '2'.
x = 15.5

Simplifying
x = 15.5

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