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

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


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

Reorder the terms:
3(-5 + 2x) = 2(x + 3) + -5
(-5 * 3 + 2x * 3) = 2(x + 3) + -5
(-15 + 6x) = 2(x + 3) + -5

Reorder the terms:
-15 + 6x = 2(3 + x) + -5
-15 + 6x = (3 * 2 + x * 2) + -5
-15 + 6x = (6 + 2x) + -5

Reorder the terms:
-15 + 6x = 6 + -5 + 2x

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

Solving
-15 + 6x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-15 + 6x + -2x = 1 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-15 + 4x = 1 + 0
-15 + 4x = 1

Add '15' to each side of the equation.
-15 + 15 + 4x = 1 + 15

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

Combine like terms: 1 + 15 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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