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

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


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

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

Reorder the terms:
10 + 5x + 3(2 + x) = 4(x + 3) + 2(x + 7)
10 + 5x + (2 * 3 + x * 3) = 4(x + 3) + 2(x + 7)
10 + 5x + (6 + 3x) = 4(x + 3) + 2(x + 7)

Reorder the terms:
10 + 6 + 5x + 3x = 4(x + 3) + 2(x + 7)

Combine like terms: 10 + 6 = 16
16 + 5x + 3x = 4(x + 3) + 2(x + 7)

Combine like terms: 5x + 3x = 8x
16 + 8x = 4(x + 3) + 2(x + 7)

Reorder the terms:
16 + 8x = 4(3 + x) + 2(x + 7)
16 + 8x = (3 * 4 + x * 4) + 2(x + 7)
16 + 8x = (12 + 4x) + 2(x + 7)

Reorder the terms:
16 + 8x = 12 + 4x + 2(7 + x)
16 + 8x = 12 + 4x + (7 * 2 + x * 2)
16 + 8x = 12 + 4x + (14 + 2x)

Reorder the terms:
16 + 8x = 12 + 14 + 4x + 2x

Combine like terms: 12 + 14 = 26
16 + 8x = 26 + 4x + 2x

Combine like terms: 4x + 2x = 6x
16 + 8x = 26 + 6x

Solving
16 + 8x = 26 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
16 + 8x + -6x = 26 + 6x + -6x

Combine like terms: 8x + -6x = 2x
16 + 2x = 26 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + 2x = 26 + 0
16 + 2x = 26

Add '-16' to each side of the equation.
16 + -16 + 2x = 26 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 26 + -16
2x = 26 + -16

Combine like terms: 26 + -16 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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