7(x+4)+3=-5+3(-2x)

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Solution for 7(x+4)+3=-5+3(-2x) equation:


Simplifying
7(x + 4) + 3 = -5 + 3(-2x)

Reorder the terms:
7(4 + x) + 3 = -5 + 3(-2x)
(4 * 7 + x * 7) + 3 = -5 + 3(-2x)
(28 + 7x) + 3 = -5 + 3(-2x)

Reorder the terms:
28 + 3 + 7x = -5 + 3(-2x)

Combine like terms: 28 + 3 = 31
31 + 7x = -5 + 3(-2x)

Remove parenthesis around (-2x)
31 + 7x = -5 + 3 * -2x

Multiply 3 * -2
31 + 7x = -5 + -6x

Solving
31 + 7x = -5 + -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.
31 + 7x + 6x = -5 + -6x + 6x

Combine like terms: 7x + 6x = 13x
31 + 13x = -5 + -6x + 6x

Combine like terms: -6x + 6x = 0
31 + 13x = -5 + 0
31 + 13x = -5

Add '-31' to each side of the equation.
31 + -31 + 13x = -5 + -31

Combine like terms: 31 + -31 = 0
0 + 13x = -5 + -31
13x = -5 + -31

Combine like terms: -5 + -31 = -36
13x = -36

Divide each side by '13'.
x = -2.769230769

Simplifying
x = -2.769230769

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