7(x+2)+2(x+5)=4(x+2)+3(x+2)

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Solution for 7(x+2)+2(x+5)=4(x+2)+3(x+2) equation: 


Simplifying
7(x + 2) + 2(x + 5) = 4(x + 2) + 3(x + 2)

Reorder the terms:
7(2 + x) + 2(x + 5) = 4(x + 2) + 3(x + 2)
(2 * 7 + x * 7) + 2(x + 5) = 4(x + 2) + 3(x + 2)
(14 + 7x) + 2(x + 5) = 4(x + 2) + 3(x + 2)

Reorder the terms:
14 + 7x + 2(5 + x) = 4(x + 2) + 3(x + 2)
14 + 7x + (5 * 2 + x * 2) = 4(x + 2) + 3(x + 2)
14 + 7x + (10 + 2x) = 4(x + 2) + 3(x + 2)

Reorder the terms:
14 + 10 + 7x + 2x = 4(x + 2) + 3(x + 2)

Combine like terms: 14 + 10 = 24
24 + 7x + 2x = 4(x + 2) + 3(x + 2)

Combine like terms: 7x + 2x = 9x
24 + 9x = 4(x + 2) + 3(x + 2)

Reorder the terms:
24 + 9x = 4(2 + x) + 3(x + 2)
24 + 9x = (2 * 4 + x * 4) + 3(x + 2)
24 + 9x = (8 + 4x) + 3(x + 2)

Reorder the terms:
24 + 9x = 8 + 4x + 3(2 + x)
24 + 9x = 8 + 4x + (2 * 3 + x * 3)
24 + 9x = 8 + 4x + (6 + 3x)

Reorder the terms:
24 + 9x = 8 + 6 + 4x + 3x

Combine like terms: 8 + 6 = 14
24 + 9x = 14 + 4x + 3x

Combine like terms: 4x + 3x = 7x
24 + 9x = 14 + 7x

Solving
24 + 9x = 14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
24 + 9x + -7x = 14 + 7x + -7x

Combine like terms: 9x + -7x = 2x
24 + 2x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
24 + 2x = 14 + 0
24 + 2x = 14

Add '-24' to each side of the equation.
24 + -24 + 2x = 14 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = 14 + -24
2x = 14 + -24

Combine like terms: 14 + -24 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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