5+(2x-3)=3(x+10)

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Solution for 5+(2x-3)=3(x+10) equation:


Simplifying
5 + (2x + -3) = 3(x + 10)

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

Remove parenthesis around (-3 + 2x)
5 + -3 + 2x = 3(x + 10)

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

Reorder the terms:
2 + 2x = 3(10 + x)
2 + 2x = (10 * 3 + x * 3)
2 + 2x = (30 + 3x)

Solving
2 + 2x = 30 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + 2x + -3x = 30 + 3x + -3x

Combine like terms: 2x + -3x = -1x
2 + -1x = 30 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -1x = 30 + 0
2 + -1x = 30

Add '-2' to each side of the equation.
2 + -2 + -1x = 30 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 30 + -2
-1x = 30 + -2

Combine like terms: 30 + -2 = 28
-1x = 28

Divide each side by '-1'.
x = -28

Simplifying
x = -28

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