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

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


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

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

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

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

Reorder the terms:
5 + 9x = 4(-3 + x)
5 + 9x = (-3 * 4 + x * 4)
5 + 9x = (-12 + 4x)

Solving
5 + 9x = -12 + 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.
5 + 9x + -4x = -12 + 4x + -4x

Combine like terms: 9x + -4x = 5x
5 + 5x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + 5x = -12 + 0
5 + 5x = -12

Add '-5' to each side of the equation.
5 + -5 + 5x = -12 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = -12 + -5
5x = -12 + -5

Combine like terms: -12 + -5 = -17
5x = -17

Divide each side by '5'.
x = -3.4

Simplifying
x = -3.4

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