4(x+8)+2x=5(x+15)

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Solution for 4(x+8)+2x=5(x+15) equation: 


Simplifying
4(x + 8) + 2x = 5(x + 15)

Reorder the terms:
4(8 + x) + 2x = 5(x + 15)
(8 * 4 + x * 4) + 2x = 5(x + 15)
(32 + 4x) + 2x = 5(x + 15)

Combine like terms: 4x + 2x = 6x
32 + 6x = 5(x + 15)

Reorder the terms:
32 + 6x = 5(15 + x)
32 + 6x = (15 * 5 + x * 5)
32 + 6x = (75 + 5x)

Solving
32 + 6x = 75 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
32 + 6x + -5x = 75 + 5x + -5x

Combine like terms: 6x + -5x = 1x
32 + 1x = 75 + 5x + -5x

Combine like terms: 5x + -5x = 0
32 + 1x = 75 + 0
32 + 1x = 75

Add '-32' to each side of the equation.
32 + -32 + 1x = 75 + -32

Combine like terms: 32 + -32 = 0
0 + 1x = 75 + -32
1x = 75 + -32

Combine like terms: 75 + -32 = 43
1x = 43

Divide each side by '1'.
x = 43

Simplifying
x = 43

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