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

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


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

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

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

Solving
7 + 5x = 6 + -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.
7 + 5x + 2x = 6 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
7 + 7x = 6 + 0
7 + 7x = 6

Add '-7' to each side of the equation.
7 + -7 + 7x = 6 + -7

Combine like terms: 7 + -7 = 0
0 + 7x = 6 + -7
7x = 6 + -7

Combine like terms: 6 + -7 = -1
7x = -1

Divide each side by '7'.
x = -0.1428571429

Simplifying
x = -0.1428571429

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