7x+3=3(2x+1)-x+5

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Solution for 7x+3=3(2x+1)-x+5 equation:


Simplifying
7x + 3 = 3(2x + 1) + -1x + 5

Reorder the terms:
3 + 7x = 3(2x + 1) + -1x + 5

Reorder the terms:
3 + 7x = 3(1 + 2x) + -1x + 5
3 + 7x = (1 * 3 + 2x * 3) + -1x + 5
3 + 7x = (3 + 6x) + -1x + 5

Reorder the terms:
3 + 7x = 3 + 5 + 6x + -1x

Combine like terms: 3 + 5 = 8
3 + 7x = 8 + 6x + -1x

Combine like terms: 6x + -1x = 5x
3 + 7x = 8 + 5x

Solving
3 + 7x = 8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3 + 7x + -5x = 8 + 5x + -5x

Combine like terms: 7x + -5x = 2x
3 + 2x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + 2x = 8 + 0
3 + 2x = 8

Add '-3' to each side of the equation.
3 + -3 + 2x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 8 + -3
2x = 8 + -3

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

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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