4(x+5)+2=7x+4(x+2)

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Solution for 4(x+5)+2=7x+4(x+2) equation: 


Simplifying
4(x + 5) + 2 = 7x + 4(x + 2)

Reorder the terms:
4(5 + x) + 2 = 7x + 4(x + 2)
(5 * 4 + x * 4) + 2 = 7x + 4(x + 2)
(20 + 4x) + 2 = 7x + 4(x + 2)

Reorder the terms:
20 + 2 + 4x = 7x + 4(x + 2)

Combine like terms: 20 + 2 = 22
22 + 4x = 7x + 4(x + 2)

Reorder the terms:
22 + 4x = 7x + 4(2 + x)
22 + 4x = 7x + (2 * 4 + x * 4)
22 + 4x = 7x + (8 + 4x)

Reorder the terms:
22 + 4x = 8 + 7x + 4x

Combine like terms: 7x + 4x = 11x
22 + 4x = 8 + 11x

Solving
22 + 4x = 8 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
22 + 4x + -11x = 8 + 11x + -11x

Combine like terms: 4x + -11x = -7x
22 + -7x = 8 + 11x + -11x

Combine like terms: 11x + -11x = 0
22 + -7x = 8 + 0
22 + -7x = 8

Add '-22' to each side of the equation.
22 + -22 + -7x = 8 + -22

Combine like terms: 22 + -22 = 0
0 + -7x = 8 + -22
-7x = 8 + -22

Combine like terms: 8 + -22 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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