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

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


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

Reorder the terms:
5(4 + x) = 3(x + 7) + 2
(4 * 5 + x * 5) = 3(x + 7) + 2
(20 + 5x) = 3(x + 7) + 2

Reorder the terms:
20 + 5x = 3(7 + x) + 2
20 + 5x = (7 * 3 + x * 3) + 2
20 + 5x = (21 + 3x) + 2

Reorder the terms:
20 + 5x = 21 + 2 + 3x

Combine like terms: 21 + 2 = 23
20 + 5x = 23 + 3x

Solving
20 + 5x = 23 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
20 + 5x + -3x = 23 + 3x + -3x

Combine like terms: 5x + -3x = 2x
20 + 2x = 23 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + 2x = 23 + 0
20 + 2x = 23

Add '-20' to each side of the equation.
20 + -20 + 2x = 23 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 23 + -20
2x = 23 + -20

Combine like terms: 23 + -20 = 3
2x = 3

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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