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

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


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

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

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

Combine like terms: -15 + 5 = -10
-10 + 6x = 2(x + -3)

Reorder the terms:
-10 + 6x = 2(-3 + x)
-10 + 6x = (-3 * 2 + x * 2)
-10 + 6x = (-6 + 2x)

Solving
-10 + 6x = -6 + 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.
-10 + 6x + -2x = -6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-10 + 4x = -6 + 0
-10 + 4x = -6

Add '10' to each side of the equation.
-10 + 10 + 4x = -6 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = -6 + 10
4x = -6 + 10

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

Divide each side by '4'.
x = 1

Simplifying
x = 1

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