5(x+4)-3(x+4)=4(x+6)

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Solution for 5(x+4)-3(x+4)=4(x+6) equation:


Simplifying
5(x + 4) + -3(x + 4) = 4(x + 6)

Reorder the terms:
5(4 + x) + -3(x + 4) = 4(x + 6)
(4 * 5 + x * 5) + -3(x + 4) = 4(x + 6)
(20 + 5x) + -3(x + 4) = 4(x + 6)

Reorder the terms:
20 + 5x + -3(4 + x) = 4(x + 6)
20 + 5x + (4 * -3 + x * -3) = 4(x + 6)
20 + 5x + (-12 + -3x) = 4(x + 6)

Reorder the terms:
20 + -12 + 5x + -3x = 4(x + 6)

Combine like terms: 20 + -12 = 8
8 + 5x + -3x = 4(x + 6)

Combine like terms: 5x + -3x = 2x
8 + 2x = 4(x + 6)

Reorder the terms:
8 + 2x = 4(6 + x)
8 + 2x = (6 * 4 + x * 4)
8 + 2x = (24 + 4x)

Solving
8 + 2x = 24 + 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.
8 + 2x + -4x = 24 + 4x + -4x

Combine like terms: 2x + -4x = -2x
8 + -2x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -2x = 24 + 0
8 + -2x = 24

Add '-8' to each side of the equation.
8 + -8 + -2x = 24 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 24 + -8
-2x = 24 + -8

Combine like terms: 24 + -8 = 16
-2x = 16

Divide each side by '-2'.
x = -8

Simplifying
x = -8

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