5(x+1)+4=2(x+-3)

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Solution for 5(x+1)+4=2(x+-3) equation:


Simplifying
5(x + 1) + 4 = 2(x + -3)

Reorder the terms:
5(1 + x) + 4 = 2(x + -3)
(1 * 5 + x * 5) + 4 = 2(x + -3)
(5 + 5x) + 4 = 2(x + -3)

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

Combine like terms: 5 + 4 = 9
9 + 5x = 2(x + -3)

Reorder the terms:
9 + 5x = 2(-3 + x)
9 + 5x = (-3 * 2 + x * 2)
9 + 5x = (-6 + 2x)

Solving
9 + 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.
9 + 5x + -2x = -6 + 2x + -2x

Combine like terms: 5x + -2x = 3x
9 + 3x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + 3x = -6 + 0
9 + 3x = -6

Add '-9' to each side of the equation.
9 + -9 + 3x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = -6 + -9
3x = -6 + -9

Combine like terms: -6 + -9 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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