4x+5(4+x)=4x+40

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Solution for 4x+5(4+x)=4x+40 equation:


Simplifying
4x + 5(4 + x) = 4x + 40
4x + (4 * 5 + x * 5) = 4x + 40
4x + (20 + 5x) = 4x + 40

Reorder the terms:
20 + 4x + 5x = 4x + 40

Combine like terms: 4x + 5x = 9x
20 + 9x = 4x + 40

Reorder the terms:
20 + 9x = 40 + 4x

Solving
20 + 9x = 40 + 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.
20 + 9x + -4x = 40 + 4x + -4x

Combine like terms: 9x + -4x = 5x
20 + 5x = 40 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + 5x = 40 + 0
20 + 5x = 40

Add '-20' to each side of the equation.
20 + -20 + 5x = 40 + -20

Combine like terms: 20 + -20 = 0
0 + 5x = 40 + -20
5x = 40 + -20

Combine like terms: 40 + -20 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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