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

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


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

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

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

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

Remove parenthesis around (3 + -7x)
-10 + -2x = 3 + -7x + 5

Reorder the terms:
-10 + -2x = 3 + 5 + -7x

Combine like terms: 3 + 5 = 8
-10 + -2x = 8 + -7x

Solving
-10 + -2x = 8 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-10 + -2x + 7x = 8 + -7x + 7x

Combine like terms: -2x + 7x = 5x
-10 + 5x = 8 + -7x + 7x

Combine like terms: -7x + 7x = 0
-10 + 5x = 8 + 0
-10 + 5x = 8

Add '10' to each side of the equation.
-10 + 10 + 5x = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 8 + 10
5x = 8 + 10

Combine like terms: 8 + 10 = 18
5x = 18

Divide each side by '5'.
x = 3.6

Simplifying
x = 3.6

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