7x-7+3(3x+4)=-2(x+5)

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Solution for 7x-7+3(3x+4)=-2(x+5) equation:


Simplifying
7x + -7 + 3(3x + 4) = -2(x + 5)

Reorder the terms:
7x + -7 + 3(4 + 3x) = -2(x + 5)
7x + -7 + (4 * 3 + 3x * 3) = -2(x + 5)
7x + -7 + (12 + 9x) = -2(x + 5)

Reorder the terms:
-7 + 12 + 7x + 9x = -2(x + 5)

Combine like terms: -7 + 12 = 5
5 + 7x + 9x = -2(x + 5)

Combine like terms: 7x + 9x = 16x
5 + 16x = -2(x + 5)

Reorder the terms:
5 + 16x = -2(5 + x)
5 + 16x = (5 * -2 + x * -2)
5 + 16x = (-10 + -2x)

Solving
5 + 16x = -10 + -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 + 16x + 2x = -10 + -2x + 2x

Combine like terms: 16x + 2x = 18x
5 + 18x = -10 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 + 18x = -10 + 0
5 + 18x = -10

Add '-5' to each side of the equation.
5 + -5 + 18x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + 18x = -10 + -5
18x = -10 + -5

Combine like terms: -10 + -5 = -15
18x = -15

Divide each side by '18'.
x = -0.8333333333

Simplifying
x = -0.8333333333

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