5(2x+1)-3(x+1)=15(x-2)

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Solution for 5(2x+1)-3(x+1)=15(x-2) equation:


Simplifying
5(2x + 1) + -3(x + 1) = 15(x + -2)

Reorder the terms:
5(1 + 2x) + -3(x + 1) = 15(x + -2)
(1 * 5 + 2x * 5) + -3(x + 1) = 15(x + -2)
(5 + 10x) + -3(x + 1) = 15(x + -2)

Reorder the terms:
5 + 10x + -3(1 + x) = 15(x + -2)
5 + 10x + (1 * -3 + x * -3) = 15(x + -2)
5 + 10x + (-3 + -3x) = 15(x + -2)

Reorder the terms:
5 + -3 + 10x + -3x = 15(x + -2)

Combine like terms: 5 + -3 = 2
2 + 10x + -3x = 15(x + -2)

Combine like terms: 10x + -3x = 7x
2 + 7x = 15(x + -2)

Reorder the terms:
2 + 7x = 15(-2 + x)
2 + 7x = (-2 * 15 + x * 15)
2 + 7x = (-30 + 15x)

Solving
2 + 7x = -30 + 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.
2 + 7x + -15x = -30 + 15x + -15x

Combine like terms: 7x + -15x = -8x
2 + -8x = -30 + 15x + -15x

Combine like terms: 15x + -15x = 0
2 + -8x = -30 + 0
2 + -8x = -30

Add '-2' to each side of the equation.
2 + -2 + -8x = -30 + -2

Combine like terms: 2 + -2 = 0
0 + -8x = -30 + -2
-8x = -30 + -2

Combine like terms: -30 + -2 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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