3(2x-5)+8=6x-2(2x+3)

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Solution for 3(2x-5)+8=6x-2(2x+3) equation:


Simplifying
3(2x + -5) + 8 = 6x + -2(2x + 3)

Reorder the terms:
3(-5 + 2x) + 8 = 6x + -2(2x + 3)
(-5 * 3 + 2x * 3) + 8 = 6x + -2(2x + 3)
(-15 + 6x) + 8 = 6x + -2(2x + 3)

Reorder the terms:
-15 + 8 + 6x = 6x + -2(2x + 3)

Combine like terms: -15 + 8 = -7
-7 + 6x = 6x + -2(2x + 3)

Reorder the terms:
-7 + 6x = 6x + -2(3 + 2x)
-7 + 6x = 6x + (3 * -2 + 2x * -2)
-7 + 6x = 6x + (-6 + -4x)

Reorder the terms:
-7 + 6x = -6 + 6x + -4x

Combine like terms: 6x + -4x = 2x
-7 + 6x = -6 + 2x

Solving
-7 + 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.
-7 + 6x + -2x = -6 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-7 + 4x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 4x = -6 + 0
-7 + 4x = -6

Add '7' to each side of the equation.
-7 + 7 + 4x = -6 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = -6 + 7
4x = -6 + 7

Combine like terms: -6 + 7 = 1
4x = 1

Divide each side by '4'.
x = 0.25

Simplifying
x = 0.25

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