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

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


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

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

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

Combine like terms: -6 + 5 = -1
-1 + 2x = 6x + -5

Reorder the terms:
-1 + 2x = -5 + 6x

Solving
-1 + 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.
-1 + 2x + -6x = -5 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-1 + -4x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1 + -4x = -5 + 0
-1 + -4x = -5

Add '1' to each side of the equation.
-1 + 1 + -4x = -5 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = -5 + 1
-4x = -5 + 1

Combine like terms: -5 + 1 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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