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

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


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

Reorder the terms:
5(3 + 2x) + -2(7x + 1) = 9
(3 * 5 + 2x * 5) + -2(7x + 1) = 9
(15 + 10x) + -2(7x + 1) = 9

Reorder the terms:
15 + 10x + -2(1 + 7x) = 9
15 + 10x + (1 * -2 + 7x * -2) = 9
15 + 10x + (-2 + -14x) = 9

Reorder the terms:
15 + -2 + 10x + -14x = 9

Combine like terms: 15 + -2 = 13
13 + 10x + -14x = 9

Combine like terms: 10x + -14x = -4x
13 + -4x = 9

Solving
13 + -4x = 9

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + -4x = 9 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = 9 + -13
-4x = 9 + -13

Combine like terms: 9 + -13 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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