5(x+3)+x=4(2x-1)-1

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Solution for 5(x+3)+x=4(2x-1)-1 equation: 


Simplifying
5(x + 3) + x = 4(2x + -1) + -1

Reorder the terms:
5(3 + x) + x = 4(2x + -1) + -1
(3 * 5 + x * 5) + x = 4(2x + -1) + -1
(15 + 5x) + x = 4(2x + -1) + -1

Combine like terms: 5x + x = 6x
15 + 6x = 4(2x + -1) + -1

Reorder the terms:
15 + 6x = 4(-1 + 2x) + -1
15 + 6x = (-1 * 4 + 2x * 4) + -1
15 + 6x = (-4 + 8x) + -1

Reorder the terms:
15 + 6x = -4 + -1 + 8x

Combine like terms: -4 + -1 = -5
15 + 6x = -5 + 8x

Solving
15 + 6x = -5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
15 + 6x + -8x = -5 + 8x + -8x

Combine like terms: 6x + -8x = -2x
15 + -2x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
15 + -2x = -5 + 0
15 + -2x = -5

Add '-15' to each side of the equation.
15 + -15 + -2x = -5 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = -5 + -15
-2x = -5 + -15

Combine like terms: -5 + -15 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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