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

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


Simplifying
2(x + -5) + 3(x + -2) + 8 = 0

Reorder the terms:
2(-5 + x) + 3(x + -2) + 8 = 0
(-5 * 2 + x * 2) + 3(x + -2) + 8 = 0
(-10 + 2x) + 3(x + -2) + 8 = 0

Reorder the terms:
-10 + 2x + 3(-2 + x) + 8 = 0
-10 + 2x + (-2 * 3 + x * 3) + 8 = 0
-10 + 2x + (-6 + 3x) + 8 = 0

Reorder the terms:
-10 + -6 + 8 + 2x + 3x = 0

Combine like terms: -10 + -6 = -16
-16 + 8 + 2x + 3x = 0

Combine like terms: -16 + 8 = -8
-8 + 2x + 3x = 0

Combine like terms: 2x + 3x = 5x
-8 + 5x = 0

Solving
-8 + 5x = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 5x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 0 + 8
5x = 0 + 8

Combine like terms: 0 + 8 = 8
5x = 8

Divide each side by '5'.
x = 1.6

Simplifying
x = 1.6

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