7(2x+3)+3(2x+1)=10

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Solution for 7(2x+3)+3(2x+1)=10 equation:


Simplifying
7(2x + 3) + 3(2x + 1) = 10

Reorder the terms:
7(3 + 2x) + 3(2x + 1) = 10
(3 * 7 + 2x * 7) + 3(2x + 1) = 10
(21 + 14x) + 3(2x + 1) = 10

Reorder the terms:
21 + 14x + 3(1 + 2x) = 10
21 + 14x + (1 * 3 + 2x * 3) = 10
21 + 14x + (3 + 6x) = 10

Reorder the terms:
21 + 3 + 14x + 6x = 10

Combine like terms: 21 + 3 = 24
24 + 14x + 6x = 10

Combine like terms: 14x + 6x = 20x
24 + 20x = 10

Solving
24 + 20x = 10

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 20x = 10 + -24

Combine like terms: 24 + -24 = 0
0 + 20x = 10 + -24
20x = 10 + -24

Combine like terms: 10 + -24 = -14
20x = -14

Divide each side by '20'.
x = -0.7

Simplifying
x = -0.7

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