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

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


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

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

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

Reorder the terms:
15 + -3x = 2 + -1 + 4x

Combine like terms: 2 + -1 = 1
15 + -3x = 1 + 4x

Solving
15 + -3x = 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.
15 + -3x + -4x = 1 + 4x + -4x

Combine like terms: -3x + -4x = -7x
15 + -7x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -7x = 1 + 0
15 + -7x = 1

Add '-15' to each side of the equation.
15 + -15 + -7x = 1 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = 1 + -15
-7x = 1 + -15

Combine like terms: 1 + -15 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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