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

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


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

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

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

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

Combine like terms: 7x + 5x = 12x
3 + 12x = 5(x + -3) + 2

Reorder the terms:
3 + 12x = 5(-3 + x) + 2
3 + 12x = (-3 * 5 + x * 5) + 2
3 + 12x = (-15 + 5x) + 2

Reorder the terms:
3 + 12x = -15 + 2 + 5x

Combine like terms: -15 + 2 = -13
3 + 12x = -13 + 5x

Solving
3 + 12x = -13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3 + 12x + -5x = -13 + 5x + -5x

Combine like terms: 12x + -5x = 7x
3 + 7x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + 7x = -13 + 0
3 + 7x = -13

Add '-3' to each side of the equation.
3 + -3 + 7x = -13 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = -13 + -3
7x = -13 + -3

Combine like terms: -13 + -3 = -16
7x = -16

Divide each side by '7'.
x = -2.285714286

Simplifying
x = -2.285714286

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