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

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


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

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

Reorder the terms:
-1 + 6x = 5(2 + x) + -3x
-1 + 6x = (2 * 5 + x * 5) + -3x
-1 + 6x = (10 + 5x) + -3x

Combine like terms: 5x + -3x = 2x
-1 + 6x = 10 + 2x

Solving
-1 + 6x = 10 + 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.
-1 + 6x + -2x = 10 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-1 + 4x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + 4x = 10 + 0
-1 + 4x = 10

Add '1' to each side of the equation.
-1 + 1 + 4x = 10 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = 10 + 1
4x = 10 + 1

Combine like terms: 10 + 1 = 11
4x = 11

Divide each side by '4'.
x = 2.75

Simplifying
x = 2.75

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