5(3x+7)-2(x+1)=9

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Solution for 5(3x+7)-2(x+1)=9 equation:


Simplifying
5(3x + 7) + -2(x + 1) = 9

Reorder the terms:
5(7 + 3x) + -2(x + 1) = 9
(7 * 5 + 3x * 5) + -2(x + 1) = 9
(35 + 15x) + -2(x + 1) = 9

Reorder the terms:
35 + 15x + -2(1 + x) = 9
35 + 15x + (1 * -2 + x * -2) = 9
35 + 15x + (-2 + -2x) = 9

Reorder the terms:
35 + -2 + 15x + -2x = 9

Combine like terms: 35 + -2 = 33
33 + 15x + -2x = 9

Combine like terms: 15x + -2x = 13x
33 + 13x = 9

Solving
33 + 13x = 9

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + 13x = 9 + -33

Combine like terms: 33 + -33 = 0
0 + 13x = 9 + -33
13x = 9 + -33

Combine like terms: 9 + -33 = -24
13x = -24

Divide each side by '13'.
x = -1.846153846

Simplifying
x = -1.846153846

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