3(2x-5)=10-(x+5)

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Solution for 3(2x-5)=10-(x+5) equation:


Simplifying
3(2x + -5) = 10 + -1(x + 5)

Reorder the terms:
3(-5 + 2x) = 10 + -1(x + 5)
(-5 * 3 + 2x * 3) = 10 + -1(x + 5)
(-15 + 6x) = 10 + -1(x + 5)

Reorder the terms:
-15 + 6x = 10 + -1(5 + x)
-15 + 6x = 10 + (5 * -1 + x * -1)
-15 + 6x = 10 + (-5 + -1x)

Combine like terms: 10 + -5 = 5
-15 + 6x = 5 + -1x

Solving
-15 + 6x = 5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-15 + 6x + x = 5 + -1x + x

Combine like terms: 6x + x = 7x
-15 + 7x = 5 + -1x + x

Combine like terms: -1x + x = 0
-15 + 7x = 5 + 0
-15 + 7x = 5

Add '15' to each side of the equation.
-15 + 15 + 7x = 5 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = 5 + 15
7x = 5 + 15

Combine like terms: 5 + 15 = 20
7x = 20

Divide each side by '7'.
x = 2.857142857

Simplifying
x = 2.857142857

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