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

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


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

Reorder the terms:
2 + 3(-3 + x) = 10 + -5(x + -5)
2 + (-3 * 3 + x * 3) = 10 + -5(x + -5)
2 + (-9 + 3x) = 10 + -5(x + -5)

Combine like terms: 2 + -9 = -7
-7 + 3x = 10 + -5(x + -5)

Reorder the terms:
-7 + 3x = 10 + -5(-5 + x)
-7 + 3x = 10 + (-5 * -5 + x * -5)
-7 + 3x = 10 + (25 + -5x)

Combine like terms: 10 + 25 = 35
-7 + 3x = 35 + -5x

Solving
-7 + 3x = 35 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-7 + 3x + 5x = 35 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-7 + 8x = 35 + -5x + 5x

Combine like terms: -5x + 5x = 0
-7 + 8x = 35 + 0
-7 + 8x = 35

Add '7' to each side of the equation.
-7 + 7 + 8x = 35 + 7

Combine like terms: -7 + 7 = 0
0 + 8x = 35 + 7
8x = 35 + 7

Combine like terms: 35 + 7 = 42
8x = 42

Divide each side by '8'.
x = 5.25

Simplifying
x = 5.25

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