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

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


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

Reorder the terms:
2(-3 + 4x) + x = 3x + -5
(-3 * 2 + 4x * 2) + x = 3x + -5
(-6 + 8x) + x = 3x + -5

Combine like terms: 8x + x = 9x
-6 + 9x = 3x + -5

Reorder the terms:
-6 + 9x = -5 + 3x

Solving
-6 + 9x = -5 + 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.
-6 + 9x + -3x = -5 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-6 + 6x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 6x = -5 + 0
-6 + 6x = -5

Add '6' to each side of the equation.
-6 + 6 + 6x = -5 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = -5 + 6
6x = -5 + 6

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

Divide each side by '6'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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