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

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


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

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

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

Combine like terms: -6 + 3 = -3
-3 + 2x = 6x + -5

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

Solving
-3 + 2x = -5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + 2x + -6x = -5 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-3 + -4x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + -4x = -5 + 0
-3 + -4x = -5

Add '3' to each side of the equation.
-3 + 3 + -4x = -5 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = -5 + 3
-4x = -5 + 3

Combine like terms: -5 + 3 = -2
-4x = -2

Divide each side by '-4'.
x = 0.5

Simplifying
x = 0.5

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