2+3(2-5)-8=2(x-5)

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Solution for 2+3(2-5)-8=2(x-5) equation: 


Simplifying
2 + 3(2 + -5) + -8 = 2(x + -5)

Combine like terms: 2 + -5 = -3
2 + 3(-3) + -8 = 2(x + -5)

Multiply 3 * -3
2 + -9 + -8 = 2(x + -5)

Combine like terms: 2 + -9 = -7
-7 + -8 = 2(x + -5)

Combine like terms: -7 + -8 = -15
-15 = 2(x + -5)

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

Solving
-15 = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-15 + -2x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + -2x = -10 + 0
-15 + -2x = -10

Add '15' to each side of the equation.
-15 + 15 + -2x = -10 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = -10 + 15
-2x = -10 + 15

Combine like terms: -10 + 15 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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