7x+4(x+4)=4+8(2x+4)

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Solution for 7x+4(x+4)=4+8(2x+4) equation: 


Simplifying
7x + 4(x + 4) = 4 + 8(2x + 4)

Reorder the terms:
7x + 4(4 + x) = 4 + 8(2x + 4)
7x + (4 * 4 + x * 4) = 4 + 8(2x + 4)
7x + (16 + 4x) = 4 + 8(2x + 4)

Reorder the terms:
16 + 7x + 4x = 4 + 8(2x + 4)

Combine like terms: 7x + 4x = 11x
16 + 11x = 4 + 8(2x + 4)

Reorder the terms:
16 + 11x = 4 + 8(4 + 2x)
16 + 11x = 4 + (4 * 8 + 2x * 8)
16 + 11x = 4 + (32 + 16x)

Combine like terms: 4 + 32 = 36
16 + 11x = 36 + 16x

Solving
16 + 11x = 36 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
16 + 11x + -16x = 36 + 16x + -16x

Combine like terms: 11x + -16x = -5x
16 + -5x = 36 + 16x + -16x

Combine like terms: 16x + -16x = 0
16 + -5x = 36 + 0
16 + -5x = 36

Add '-16' to each side of the equation.
16 + -16 + -5x = 36 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = 36 + -16
-5x = 36 + -16

Combine like terms: 36 + -16 = 20
-5x = 20

Divide each side by '-5'.
x = -4

Simplifying
x = -4

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