3x-7+2(3x+1)=-5(x+3)

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Solution for 3x-7+2(3x+1)=-5(x+3) equation:


Simplifying
3x + -7 + 2(3x + 1) = -5(x + 3)

Reorder the terms:
3x + -7 + 2(1 + 3x) = -5(x + 3)
3x + -7 + (1 * 2 + 3x * 2) = -5(x + 3)
3x + -7 + (2 + 6x) = -5(x + 3)

Reorder the terms:
-7 + 2 + 3x + 6x = -5(x + 3)

Combine like terms: -7 + 2 = -5
-5 + 3x + 6x = -5(x + 3)

Combine like terms: 3x + 6x = 9x
-5 + 9x = -5(x + 3)

Reorder the terms:
-5 + 9x = -5(3 + x)
-5 + 9x = (3 * -5 + x * -5)
-5 + 9x = (-15 + -5x)

Solving
-5 + 9x = -15 + -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.
-5 + 9x + 5x = -15 + -5x + 5x

Combine like terms: 9x + 5x = 14x
-5 + 14x = -15 + -5x + 5x

Combine like terms: -5x + 5x = 0
-5 + 14x = -15 + 0
-5 + 14x = -15

Add '5' to each side of the equation.
-5 + 5 + 14x = -15 + 5

Combine like terms: -5 + 5 = 0
0 + 14x = -15 + 5
14x = -15 + 5

Combine like terms: -15 + 5 = -10
14x = -10

Divide each side by '14'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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