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

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


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

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

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

Combine like terms: 6x + x = 7x
-3 + 5x = 3 + 7x

Solving
-3 + 5x = 3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-3 + 5x + -7x = 3 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-3 + -2x = 3 + 7x + -7x

Combine like terms: 7x + -7x = 0
-3 + -2x = 3 + 0
-3 + -2x = 3

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

Combine like terms: -3 + 3 = 0
0 + -2x = 3 + 3
-2x = 3 + 3

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

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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