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

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


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

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

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

Reorder the terms:
3 + 5x = 10 + -3 + 2x

Combine like terms: 10 + -3 = 7
3 + 5x = 7 + 2x

Solving
3 + 5x = 7 + 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.
3 + 5x + -2x = 7 + 2x + -2x

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

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

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

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

Combine like terms: 7 + -3 = 4
3x = 4

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333

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