9(2x+3)-5=4(2x+3)+5(x+2)

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Solution for 9(2x+3)-5=4(2x+3)+5(x+2) equation:


Simplifying
9(2x + 3) + -5 = 4(2x + 3) + 5(x + 2)

Reorder the terms:
9(3 + 2x) + -5 = 4(2x + 3) + 5(x + 2)
(3 * 9 + 2x * 9) + -5 = 4(2x + 3) + 5(x + 2)
(27 + 18x) + -5 = 4(2x + 3) + 5(x + 2)

Reorder the terms:
27 + -5 + 18x = 4(2x + 3) + 5(x + 2)

Combine like terms: 27 + -5 = 22
22 + 18x = 4(2x + 3) + 5(x + 2)

Reorder the terms:
22 + 18x = 4(3 + 2x) + 5(x + 2)
22 + 18x = (3 * 4 + 2x * 4) + 5(x + 2)
22 + 18x = (12 + 8x) + 5(x + 2)

Reorder the terms:
22 + 18x = 12 + 8x + 5(2 + x)
22 + 18x = 12 + 8x + (2 * 5 + x * 5)
22 + 18x = 12 + 8x + (10 + 5x)

Reorder the terms:
22 + 18x = 12 + 10 + 8x + 5x

Combine like terms: 12 + 10 = 22
22 + 18x = 22 + 8x + 5x

Combine like terms: 8x + 5x = 13x
22 + 18x = 22 + 13x

Add '-22' to each side of the equation.
22 + -22 + 18x = 22 + -22 + 13x

Combine like terms: 22 + -22 = 0
0 + 18x = 22 + -22 + 13x
18x = 22 + -22 + 13x

Combine like terms: 22 + -22 = 0
18x = 0 + 13x
18x = 13x

Solving
18x = 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
18x + -13x = 13x + -13x

Combine like terms: 18x + -13x = 5x
5x = 13x + -13x

Combine like terms: 13x + -13x = 0
5x = 0

Divide each side by '5'.
x = 0

Simplifying
x = 0

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