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

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


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

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

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

Reorder the terms:
-15 + 3x = -10 + x + -2x

Combine like terms: x + -2x = -1x
-15 + 3x = -10 + -1x

Solving
-15 + 3x = -10 + -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 + 3x + x = -10 + -1x + x

Combine like terms: 3x + x = 4x
-15 + 4x = -10 + -1x + x

Combine like terms: -1x + x = 0
-15 + 4x = -10 + 0
-15 + 4x = -10

Add '15' to each side of the equation.
-15 + 15 + 4x = -10 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = -10 + 15
4x = -10 + 15

Combine like terms: -10 + 15 = 5
4x = 5

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25

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