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

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


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

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

Reorder the terms:
35 + 5x = 7(3 + x)
35 + 5x = (3 * 7 + x * 7)
35 + 5x = (21 + 7x)

Solving
35 + 5x = 21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
35 + 5x + -7x = 21 + 7x + -7x

Combine like terms: 5x + -7x = -2x
35 + -2x = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0
35 + -2x = 21 + 0
35 + -2x = 21

Add '-35' to each side of the equation.
35 + -35 + -2x = 21 + -35

Combine like terms: 35 + -35 = 0
0 + -2x = 21 + -35
-2x = 21 + -35

Combine like terms: 21 + -35 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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