5(x+7)=6(x+3)

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Solution for 5(x+7)=6(x+3) equation:


Simplifying
5(x + 7) = 6(x + 3)

Reorder the terms:
5(7 + x) = 6(x + 3)
(7 * 5 + x * 5) = 6(x + 3)
(35 + 5x) = 6(x + 3)

Reorder the terms:
35 + 5x = 6(3 + x)
35 + 5x = (3 * 6 + x * 6)
35 + 5x = (18 + 6x)

Solving
35 + 5x = 18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
35 + 5x + -6x = 18 + 6x + -6x

Combine like terms: 5x + -6x = -1x
35 + -1x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
35 + -1x = 18 + 0
35 + -1x = 18

Add '-35' to each side of the equation.
35 + -35 + -1x = 18 + -35

Combine like terms: 35 + -35 = 0
0 + -1x = 18 + -35
-1x = 18 + -35

Combine like terms: 18 + -35 = -17
-1x = -17

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

Simplifying
x = 17

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