5(x+3)-2(3x+7)=18

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Solution for 5(x+3)-2(3x+7)=18 equation:


Simplifying
5(x + 3) + -2(3x + 7) = 18

Reorder the terms:
5(3 + x) + -2(3x + 7) = 18
(3 * 5 + x * 5) + -2(3x + 7) = 18
(15 + 5x) + -2(3x + 7) = 18

Reorder the terms:
15 + 5x + -2(7 + 3x) = 18
15 + 5x + (7 * -2 + 3x * -2) = 18
15 + 5x + (-14 + -6x) = 18

Reorder the terms:
15 + -14 + 5x + -6x = 18

Combine like terms: 15 + -14 = 1
1 + 5x + -6x = 18

Combine like terms: 5x + -6x = -1x
1 + -1x = 18

Solving
1 + -1x = 18

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 18 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 18 + -1
-1x = 18 + -1

Combine like terms: 18 + -1 = 17
-1x = 17

Divide each side by '-1'.
x = -17

Simplifying
x = -17

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