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

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


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

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

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

Combine like terms: 5 + 3 = 8
-2 + 6x = 8 + -2x

Solving
-2 + 6x = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-2 + 6x + 2x = 8 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-2 + 8x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-2 + 8x = 8 + 0
-2 + 8x = 8

Add '2' to each side of the equation.
-2 + 2 + 8x = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = 8 + 2
8x = 8 + 2

Combine like terms: 8 + 2 = 10
8x = 10

Divide each side by '8'.
x = 1.25

Simplifying
x = 1.25

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