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

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


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

Reorder the terms:
5(3 + x) + -2x = -4(x + 1)
(3 * 5 + x * 5) + -2x = -4(x + 1)
(15 + 5x) + -2x = -4(x + 1)

Combine like terms: 5x + -2x = 3x
15 + 3x = -4(x + 1)

Reorder the terms:
15 + 3x = -4(1 + x)
15 + 3x = (1 * -4 + x * -4)
15 + 3x = (-4 + -4x)

Solving
15 + 3x = -4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
15 + 3x + 4x = -4 + -4x + 4x

Combine like terms: 3x + 4x = 7x
15 + 7x = -4 + -4x + 4x

Combine like terms: -4x + 4x = 0
15 + 7x = -4 + 0
15 + 7x = -4

Add '-15' to each side of the equation.
15 + -15 + 7x = -4 + -15

Combine like terms: 15 + -15 = 0
0 + 7x = -4 + -15
7x = -4 + -15

Combine like terms: -4 + -15 = -19
7x = -19

Divide each side by '7'.
x = -2.714285714

Simplifying
x = -2.714285714

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