30-2(x+4)=10+3(2x-5)

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Solution for 30-2(x+4)=10+3(2x-5) equation: 


Simplifying
30 + -2(x + 4) = 10 + 3(2x + -5)

Reorder the terms:
30 + -2(4 + x) = 10 + 3(2x + -5)
30 + (4 * -2 + x * -2) = 10 + 3(2x + -5)
30 + (-8 + -2x) = 10 + 3(2x + -5)

Combine like terms: 30 + -8 = 22
22 + -2x = 10 + 3(2x + -5)

Reorder the terms:
22 + -2x = 10 + 3(-5 + 2x)
22 + -2x = 10 + (-5 * 3 + 2x * 3)
22 + -2x = 10 + (-15 + 6x)

Combine like terms: 10 + -15 = -5
22 + -2x = -5 + 6x

Solving
22 + -2x = -5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
22 + -2x + -6x = -5 + 6x + -6x

Combine like terms: -2x + -6x = -8x
22 + -8x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
22 + -8x = -5 + 0
22 + -8x = -5

Add '-22' to each side of the equation.
22 + -22 + -8x = -5 + -22

Combine like terms: 22 + -22 = 0
0 + -8x = -5 + -22
-8x = -5 + -22

Combine like terms: -5 + -22 = -27
-8x = -27

Divide each side by '-8'.
x = 3.375

Simplifying
x = 3.375

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