7x+4(x+9)=4(x+2)

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Solution for 7x+4(x+9)=4(x+2) equation:


Simplifying
7x + 4(x + 9) = 4(x + 2)

Reorder the terms:
7x + 4(9 + x) = 4(x + 2)
7x + (9 * 4 + x * 4) = 4(x + 2)
7x + (36 + 4x) = 4(x + 2)

Reorder the terms:
36 + 7x + 4x = 4(x + 2)

Combine like terms: 7x + 4x = 11x
36 + 11x = 4(x + 2)

Reorder the terms:
36 + 11x = 4(2 + x)
36 + 11x = (2 * 4 + x * 4)
36 + 11x = (8 + 4x)

Solving
36 + 11x = 8 + 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.
36 + 11x + -4x = 8 + 4x + -4x

Combine like terms: 11x + -4x = 7x
36 + 7x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
36 + 7x = 8 + 0
36 + 7x = 8

Add '-36' to each side of the equation.
36 + -36 + 7x = 8 + -36

Combine like terms: 36 + -36 = 0
0 + 7x = 8 + -36
7x = 8 + -36

Combine like terms: 8 + -36 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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