7x-5(x+2)=27+(x-3)

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Solution for 7x-5(x+2)=27+(x-3) equation:


Simplifying
7x + -5(x + 2) = 27 + (x + -3)

Reorder the terms:
7x + -5(2 + x) = 27 + (x + -3)
7x + (2 * -5 + x * -5) = 27 + (x + -3)
7x + (-10 + -5x) = 27 + (x + -3)

Reorder the terms:
-10 + 7x + -5x = 27 + (x + -3)

Combine like terms: 7x + -5x = 2x
-10 + 2x = 27 + (x + -3)

Reorder the terms:
-10 + 2x = 27 + (-3 + x)

Remove parenthesis around (-3 + x)
-10 + 2x = 27 + -3 + x

Combine like terms: 27 + -3 = 24
-10 + 2x = 24 + x

Solving
-10 + 2x = 24 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + 2x + -1x = 24 + x + -1x

Combine like terms: 2x + -1x = 1x
-10 + 1x = 24 + x + -1x

Combine like terms: x + -1x = 0
-10 + 1x = 24 + 0
-10 + 1x = 24

Add '10' to each side of the equation.
-10 + 10 + 1x = 24 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = 24 + 10
1x = 24 + 10

Combine like terms: 24 + 10 = 34
1x = 34

Divide each side by '1'.
x = 34

Simplifying
x = 34

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