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

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


Simplifying
3(x + -5) + 7x = 5(3 + -1x)

Reorder the terms:
3(-5 + x) + 7x = 5(3 + -1x)
(-5 * 3 + x * 3) + 7x = 5(3 + -1x)
(-15 + 3x) + 7x = 5(3 + -1x)

Combine like terms: 3x + 7x = 10x
-15 + 10x = 5(3 + -1x)
-15 + 10x = (3 * 5 + -1x * 5)
-15 + 10x = (15 + -5x)

Solving
-15 + 10x = 15 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-15 + 10x + 5x = 15 + -5x + 5x

Combine like terms: 10x + 5x = 15x
-15 + 15x = 15 + -5x + 5x

Combine like terms: -5x + 5x = 0
-15 + 15x = 15 + 0
-15 + 15x = 15

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

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

Combine like terms: 15 + 15 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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