2(x+4)+3(x+1)=10

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Solution for 2(x+4)+3(x+1)=10 equation:


Simplifying
2(x + 4) + 3(x + 1) = 10

Reorder the terms:
2(4 + x) + 3(x + 1) = 10
(4 * 2 + x * 2) + 3(x + 1) = 10
(8 + 2x) + 3(x + 1) = 10

Reorder the terms:
8 + 2x + 3(1 + x) = 10
8 + 2x + (1 * 3 + x * 3) = 10
8 + 2x + (3 + 3x) = 10

Reorder the terms:
8 + 3 + 2x + 3x = 10

Combine like terms: 8 + 3 = 11
11 + 2x + 3x = 10

Combine like terms: 2x + 3x = 5x
11 + 5x = 10

Solving
11 + 5x = 10

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 5x = 10 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = 10 + -11
5x = 10 + -11

Combine like terms: 10 + -11 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2

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