5(3x-1)=2(2x-3)+6

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Solution for 5(3x-1)=2(2x-3)+6 equation:


Simplifying
5(3x + -1) = 2(2x + -3) + 6

Reorder the terms:
5(-1 + 3x) = 2(2x + -3) + 6
(-1 * 5 + 3x * 5) = 2(2x + -3) + 6
(-5 + 15x) = 2(2x + -3) + 6

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

Reorder the terms:
-5 + 15x = -6 + 6 + 4x

Combine like terms: -6 + 6 = 0
-5 + 15x = 0 + 4x
-5 + 15x = 4x

Solving
-5 + 15x = 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.
-5 + 15x + -4x = 4x + -4x

Combine like terms: 15x + -4x = 11x
-5 + 11x = 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 11x = 0

Add '5' to each side of the equation.
-5 + 5 + 11x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 11x = 0 + 5
11x = 0 + 5

Combine like terms: 0 + 5 = 5
11x = 5

Divide each side by '11'.
x = 0.4545454545

Simplifying
x = 0.4545454545

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