5x+3=3(x+7)+3x

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


Simplifying
5x + 3 = 3(x + 7) + 3x

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

Reorder the terms:
3 + 5x = 3(7 + x) + 3x
3 + 5x = (7 * 3 + x * 3) + 3x
3 + 5x = (21 + 3x) + 3x

Combine like terms: 3x + 3x = 6x
3 + 5x = 21 + 6x

Solving
3 + 5x = 21 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3 + 5x + -6x = 21 + 6x + -6x

Combine like terms: 5x + -6x = -1x
3 + -1x = 21 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -1x = 21 + 0
3 + -1x = 21

Add '-3' to each side of the equation.
3 + -3 + -1x = 21 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 21 + -3
-1x = 21 + -3

Combine like terms: 21 + -3 = 18
-1x = 18

Divide each side by '-1'.
x = -18

Simplifying
x = -18

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