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

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


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

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

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

Combine like terms: 2 + 3 = 5
5 + 2x = 3(-1x) + -7

Remove parenthesis around (-1x)
5 + 2x = 3 * -1x + -7

Multiply 3 * -1
5 + 2x = -3x + -7

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

Solving
5 + 2x = -7 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
5 + 2x + 3x = -7 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
5 + 5x = -7 + 0
5 + 5x = -7

Add '-5' to each side of the equation.
5 + -5 + 5x = -7 + -5

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

Combine like terms: -7 + -5 = -12
5x = -12

Divide each side by '5'.
x = -2.4

Simplifying
x = -2.4

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