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

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


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

Reorder the terms:
5(2 + x) + 8x = 4(x + -1) + 5
(2 * 5 + x * 5) + 8x = 4(x + -1) + 5
(10 + 5x) + 8x = 4(x + -1) + 5

Combine like terms: 5x + 8x = 13x
10 + 13x = 4(x + -1) + 5

Reorder the terms:
10 + 13x = 4(-1 + x) + 5
10 + 13x = (-1 * 4 + x * 4) + 5
10 + 13x = (-4 + 4x) + 5

Reorder the terms:
10 + 13x = -4 + 5 + 4x

Combine like terms: -4 + 5 = 1
10 + 13x = 1 + 4x

Solving
10 + 13x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 13x + -4x = 1 + 4x + -4x

Combine like terms: 13x + -4x = 9x
10 + 9x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + 9x = 1 + 0
10 + 9x = 1

Add '-10' to each side of the equation.
10 + -10 + 9x = 1 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = 1 + -10
9x = 1 + -10

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

Divide each side by '9'.
x = -1

Simplifying
x = -1

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