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

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


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

Reorder the terms:
4(5 + x) = 3(x + -4) + 4
(5 * 4 + x * 4) = 3(x + -4) + 4
(20 + 4x) = 3(x + -4) + 4

Reorder the terms:
20 + 4x = 3(-4 + x) + 4
20 + 4x = (-4 * 3 + x * 3) + 4
20 + 4x = (-12 + 3x) + 4

Reorder the terms:
20 + 4x = -12 + 4 + 3x

Combine like terms: -12 + 4 = -8
20 + 4x = -8 + 3x

Solving
20 + 4x = -8 + 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.
20 + 4x + -3x = -8 + 3x + -3x

Combine like terms: 4x + -3x = 1x
20 + 1x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + 1x = -8 + 0
20 + 1x = -8

Add '-20' to each side of the equation.
20 + -20 + 1x = -8 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = -8 + -20
1x = -8 + -20

Combine like terms: -8 + -20 = -28
1x = -28

Divide each side by '1'.
x = -28

Simplifying
x = -28

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