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

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


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

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

Reorder the terms:
2 + 7x = -3(5 + 2x)
2 + 7x = (5 * -3 + 2x * -3)
2 + 7x = (-15 + -6x)

Solving
2 + 7x = -15 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
2 + 7x + 6x = -15 + -6x + 6x

Combine like terms: 7x + 6x = 13x
2 + 13x = -15 + -6x + 6x

Combine like terms: -6x + 6x = 0
2 + 13x = -15 + 0
2 + 13x = -15

Add '-2' to each side of the equation.
2 + -2 + 13x = -15 + -2

Combine like terms: 2 + -2 = 0
0 + 13x = -15 + -2
13x = -15 + -2

Combine like terms: -15 + -2 = -17
13x = -17

Divide each side by '13'.
x = -1.307692308

Simplifying
x = -1.307692308

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