2x+5=30-2(x-3)

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Solution for 2x+5=30-2(x-3) equation:


Simplifying
2x + 5 = 30 + -2(x + -3)

Reorder the terms:
5 + 2x = 30 + -2(x + -3)

Reorder the terms:
5 + 2x = 30 + -2(-3 + x)
5 + 2x = 30 + (-3 * -2 + x * -2)
5 + 2x = 30 + (6 + -2x)

Combine like terms: 30 + 6 = 36
5 + 2x = 36 + -2x

Solving
5 + 2x = 36 + -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.
5 + 2x + 2x = 36 + -2x + 2x

Combine like terms: 2x + 2x = 4x
5 + 4x = 36 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 + 4x = 36 + 0
5 + 4x = 36

Add '-5' to each side of the equation.
5 + -5 + 4x = 36 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 36 + -5
4x = 36 + -5

Combine like terms: 36 + -5 = 31
4x = 31

Divide each side by '4'.
x = 7.75

Simplifying
x = 7.75

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