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

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


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

Reorder the terms:
3(-3 + x) + -1(x + -6) = 5(3x + -1) + -2
(-3 * 3 + x * 3) + -1(x + -6) = 5(3x + -1) + -2
(-9 + 3x) + -1(x + -6) = 5(3x + -1) + -2

Reorder the terms:
-9 + 3x + -1(-6 + x) = 5(3x + -1) + -2
-9 + 3x + (-6 * -1 + x * -1) = 5(3x + -1) + -2
-9 + 3x + (6 + -1x) = 5(3x + -1) + -2

Reorder the terms:
-9 + 6 + 3x + -1x = 5(3x + -1) + -2

Combine like terms: -9 + 6 = -3
-3 + 3x + -1x = 5(3x + -1) + -2

Combine like terms: 3x + -1x = 2x
-3 + 2x = 5(3x + -1) + -2

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

Reorder the terms:
-3 + 2x = -5 + -2 + 15x

Combine like terms: -5 + -2 = -7
-3 + 2x = -7 + 15x

Solving
-3 + 2x = -7 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-3 + 2x + -15x = -7 + 15x + -15x

Combine like terms: 2x + -15x = -13x
-3 + -13x = -7 + 15x + -15x

Combine like terms: 15x + -15x = 0
-3 + -13x = -7 + 0
-3 + -13x = -7

Add '3' to each side of the equation.
-3 + 3 + -13x = -7 + 3

Combine like terms: -3 + 3 = 0
0 + -13x = -7 + 3
-13x = -7 + 3

Combine like terms: -7 + 3 = -4
-13x = -4

Divide each side by '-13'.
x = 0.3076923077

Simplifying
x = 0.3076923077

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