3(2x-1)-7=2(2x-5)+2

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Solution for 3(2x-1)-7=2(2x-5)+2 equation:


Simplifying
3(2x + -1) + -7 = 2(2x + -5) + 2

Reorder the terms:
3(-1 + 2x) + -7 = 2(2x + -5) + 2
(-1 * 3 + 2x * 3) + -7 = 2(2x + -5) + 2
(-3 + 6x) + -7 = 2(2x + -5) + 2

Reorder the terms:
-3 + -7 + 6x = 2(2x + -5) + 2

Combine like terms: -3 + -7 = -10
-10 + 6x = 2(2x + -5) + 2

Reorder the terms:
-10 + 6x = 2(-5 + 2x) + 2
-10 + 6x = (-5 * 2 + 2x * 2) + 2
-10 + 6x = (-10 + 4x) + 2

Reorder the terms:
-10 + 6x = -10 + 2 + 4x

Combine like terms: -10 + 2 = -8
-10 + 6x = -8 + 4x

Solving
-10 + 6x = -8 + 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.
-10 + 6x + -4x = -8 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-10 + 2x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 2x = -8 + 0
-10 + 2x = -8

Add '10' to each side of the equation.
-10 + 10 + 2x = -8 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = -8 + 10
2x = -8 + 10

Combine like terms: -8 + 10 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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