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

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


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

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

Remove parenthesis around (-1 + 5x)
-1 + 5x + (x + 3) = 5(2x + 5)

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

Remove parenthesis around (3 + x)
-1 + 5x + 3 + x = 5(2x + 5)

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

Combine like terms: -1 + 3 = 2
2 + 5x + x = 5(2x + 5)

Combine like terms: 5x + x = 6x
2 + 6x = 5(2x + 5)

Reorder the terms:
2 + 6x = 5(5 + 2x)
2 + 6x = (5 * 5 + 2x * 5)
2 + 6x = (25 + 10x)

Solving
2 + 6x = 25 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
2 + 6x + -10x = 25 + 10x + -10x

Combine like terms: 6x + -10x = -4x
2 + -4x = 25 + 10x + -10x

Combine like terms: 10x + -10x = 0
2 + -4x = 25 + 0
2 + -4x = 25

Add '-2' to each side of the equation.
2 + -2 + -4x = 25 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = 25 + -2
-4x = 25 + -2

Combine like terms: 25 + -2 = 23
-4x = 23

Divide each side by '-4'.
x = -5.75

Simplifying
x = -5.75

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