2(2x+3)+5(x+1)=8-3

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Solution for 2(2x+3)+5(x+1)=8-3 equation:


Simplifying
2(2x + 3) + 5(x + 1) = 8 + -3

Reorder the terms:
2(3 + 2x) + 5(x + 1) = 8 + -3
(3 * 2 + 2x * 2) + 5(x + 1) = 8 + -3
(6 + 4x) + 5(x + 1) = 8 + -3

Reorder the terms:
6 + 4x + 5(1 + x) = 8 + -3
6 + 4x + (1 * 5 + x * 5) = 8 + -3
6 + 4x + (5 + 5x) = 8 + -3

Reorder the terms:
6 + 5 + 4x + 5x = 8 + -3

Combine like terms: 6 + 5 = 11
11 + 4x + 5x = 8 + -3

Combine like terms: 4x + 5x = 9x
11 + 9x = 8 + -3

Combine like terms: 8 + -3 = 5
11 + 9x = 5

Solving
11 + 9x = 5

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 + 9x = 5 + -11

Combine like terms: 11 + -11 = 0
0 + 9x = 5 + -11
9x = 5 + -11

Combine like terms: 5 + -11 = -6
9x = -6

Divide each side by '9'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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