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

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


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

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

Reorder the terms:
6 + 2x = -5(-7 + x)
6 + 2x = (-7 * -5 + x * -5)
6 + 2x = (35 + -5x)

Solving
6 + 2x = 35 + -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.
6 + 2x + 5x = 35 + -5x + 5x

Combine like terms: 2x + 5x = 7x
6 + 7x = 35 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 7x = 35 + 0
6 + 7x = 35

Add '-6' to each side of the equation.
6 + -6 + 7x = 35 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 35 + -6
7x = 35 + -6

Combine like terms: 35 + -6 = 29
7x = 29

Divide each side by '7'.
x = 4.142857143

Simplifying
x = 4.142857143

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