13+4(2x-1)=5(x+2)

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Solution for 13+4(2x-1)=5(x+2) equation:


Simplifying
13 + 4(2x + -1) = 5(x + 2)

Reorder the terms:
13 + 4(-1 + 2x) = 5(x + 2)
13 + (-1 * 4 + 2x * 4) = 5(x + 2)
13 + (-4 + 8x) = 5(x + 2)

Combine like terms: 13 + -4 = 9
9 + 8x = 5(x + 2)

Reorder the terms:
9 + 8x = 5(2 + x)
9 + 8x = (2 * 5 + x * 5)
9 + 8x = (10 + 5x)

Solving
9 + 8x = 10 + 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.
9 + 8x + -5x = 10 + 5x + -5x

Combine like terms: 8x + -5x = 3x
9 + 3x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + 3x = 10 + 0
9 + 3x = 10

Add '-9' to each side of the equation.
9 + -9 + 3x = 10 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = 10 + -9
3x = 10 + -9

Combine like terms: 10 + -9 = 1
3x = 1

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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