5(x+2)+3(x-4)=34

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Solution for 5(x+2)+3(x-4)=34 equation: 


Simplifying
5(x + 2) + 3(x + -4) = 34

Reorder the terms:
5(2 + x) + 3(x + -4) = 34
(2 * 5 + x * 5) + 3(x + -4) = 34
(10 + 5x) + 3(x + -4) = 34

Reorder the terms:
10 + 5x + 3(-4 + x) = 34
10 + 5x + (-4 * 3 + x * 3) = 34
10 + 5x + (-12 + 3x) = 34

Reorder the terms:
10 + -12 + 5x + 3x = 34

Combine like terms: 10 + -12 = -2
-2 + 5x + 3x = 34

Combine like terms: 5x + 3x = 8x
-2 + 8x = 34

Solving
-2 + 8x = 34

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 + 8x = 34 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = 34 + 2
8x = 34 + 2

Combine like terms: 34 + 2 = 36
8x = 36

Divide each side by '8'.
x = 4.5

Simplifying
x = 4.5

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