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

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


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

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

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

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

Reorder the terms:
-1 + 2x = 1 + 3x + x

Combine like terms: 3x + x = 4x
-1 + 2x = 1 + 4x

Solving
-1 + 2x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-1 + 2x + -4x = 1 + 4x + -4x

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

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

Add '1' to each side of the equation.
-1 + 1 + -2x = 1 + 1

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

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

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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