3(2x-5)-4=2x-6+x

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Solution for 3(2x-5)-4=2x-6+x equation:


Simplifying
3(2x + -5) + -4 = 2x + -6 + x

Reorder the terms:
3(-5 + 2x) + -4 = 2x + -6 + x
(-5 * 3 + 2x * 3) + -4 = 2x + -6 + x
(-15 + 6x) + -4 = 2x + -6 + x

Reorder the terms:
-15 + -4 + 6x = 2x + -6 + x

Combine like terms: -15 + -4 = -19
-19 + 6x = 2x + -6 + x

Reorder the terms:
-19 + 6x = -6 + 2x + x

Combine like terms: 2x + x = 3x
-19 + 6x = -6 + 3x

Solving
-19 + 6x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-19 + 6x + -3x = -6 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-19 + 3x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-19 + 3x = -6 + 0
-19 + 3x = -6

Add '19' to each side of the equation.
-19 + 19 + 3x = -6 + 19

Combine like terms: -19 + 19 = 0
0 + 3x = -6 + 19
3x = -6 + 19

Combine like terms: -6 + 19 = 13
3x = 13

Divide each side by '3'.
x = 4.333333333

Simplifying
x = 4.333333333

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