4(x+2)+5=5(x+1)+8

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Solution for 4(x+2)+5=5(x+1)+8 equation:


Simplifying
4(x + 2) + 5 = 5(x + 1) + 8

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

Reorder the terms:
8 + 5 + 4x = 5(x + 1) + 8

Combine like terms: 8 + 5 = 13
13 + 4x = 5(x + 1) + 8

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

Reorder the terms:
13 + 4x = 5 + 8 + 5x

Combine like terms: 5 + 8 = 13
13 + 4x = 13 + 5x

Add '-13' to each side of the equation.
13 + -13 + 4x = 13 + -13 + 5x

Combine like terms: 13 + -13 = 0
0 + 4x = 13 + -13 + 5x
4x = 13 + -13 + 5x

Combine like terms: 13 + -13 = 0
4x = 0 + 5x
4x = 5x

Solving
4x = 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.
4x + -5x = 5x + -5x

Combine like terms: 4x + -5x = -1x
-1x = 5x + -5x

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

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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