5x-8+x=3(4x+1)+3x

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Solution for 5x-8+x=3(4x+1)+3x equation:


Simplifying
5x + -8 + x = 3(4x + 1) + 3x

Reorder the terms:
-8 + 5x + x = 3(4x + 1) + 3x

Combine like terms: 5x + x = 6x
-8 + 6x = 3(4x + 1) + 3x

Reorder the terms:
-8 + 6x = 3(1 + 4x) + 3x
-8 + 6x = (1 * 3 + 4x * 3) + 3x
-8 + 6x = (3 + 12x) + 3x

Combine like terms: 12x + 3x = 15x
-8 + 6x = 3 + 15x

Solving
-8 + 6x = 3 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-8 + 6x + -15x = 3 + 15x + -15x

Combine like terms: 6x + -15x = -9x
-8 + -9x = 3 + 15x + -15x

Combine like terms: 15x + -15x = 0
-8 + -9x = 3 + 0
-8 + -9x = 3

Add '8' to each side of the equation.
-8 + 8 + -9x = 3 + 8

Combine like terms: -8 + 8 = 0
0 + -9x = 3 + 8
-9x = 3 + 8

Combine like terms: 3 + 8 = 11
-9x = 11

Divide each side by '-9'.
x = -1.222222222

Simplifying
x = -1.222222222

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