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

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


Simplifying
3(5 + x) = 5(7 + -1(-2))
(5 * 3 + x * 3) = 5(7 + -1(-2))
(15 + 3x) = 5(7 + -1(-2))

Multiply -1 * -2
15 + 3x = 5(7 + 2)

Combine like terms: 7 + 2 = 9
15 + 3x = 5(9)

Multiply 5 * 9
15 + 3x = 45

Solving
15 + 3x = 45

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 3x = 45 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = 45 + -15
3x = 45 + -15

Combine like terms: 45 + -15 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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