5(x-2)=-7(x+3)+38

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Solution for 5(x-2)=-7(x+3)+38 equation:


Simplifying
5(x + -2) = -7(x + 3) + 38

Reorder the terms:
5(-2 + x) = -7(x + 3) + 38
(-2 * 5 + x * 5) = -7(x + 3) + 38
(-10 + 5x) = -7(x + 3) + 38

Reorder the terms:
-10 + 5x = -7(3 + x) + 38
-10 + 5x = (3 * -7 + x * -7) + 38
-10 + 5x = (-21 + -7x) + 38

Reorder the terms:
-10 + 5x = -21 + 38 + -7x

Combine like terms: -21 + 38 = 17
-10 + 5x = 17 + -7x

Solving
-10 + 5x = 17 + -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.
-10 + 5x + 7x = 17 + -7x + 7x

Combine like terms: 5x + 7x = 12x
-10 + 12x = 17 + -7x + 7x

Combine like terms: -7x + 7x = 0
-10 + 12x = 17 + 0
-10 + 12x = 17

Add '10' to each side of the equation.
-10 + 10 + 12x = 17 + 10

Combine like terms: -10 + 10 = 0
0 + 12x = 17 + 10
12x = 17 + 10

Combine like terms: 17 + 10 = 27
12x = 27

Divide each side by '12'.
x = 2.25

Simplifying
x = 2.25

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