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

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


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

Reorder the terms:
2(-3 + x) + 3(x + -5) = 0
(-3 * 2 + x * 2) + 3(x + -5) = 0
(-6 + 2x) + 3(x + -5) = 0

Reorder the terms:
-6 + 2x + 3(-5 + x) = 0
-6 + 2x + (-5 * 3 + x * 3) = 0
-6 + 2x + (-15 + 3x) = 0

Reorder the terms:
-6 + -15 + 2x + 3x = 0

Combine like terms: -6 + -15 = -21
-21 + 2x + 3x = 0

Combine like terms: 2x + 3x = 5x
-21 + 5x = 0

Solving
-21 + 5x = 0

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 5x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 5x = 0 + 21
5x = 0 + 21

Combine like terms: 0 + 21 = 21
5x = 21

Divide each side by '5'.
x = 4.2

Simplifying
x = 4.2

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