4(x+1)-3(x+8)=30

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Solution for 4(x+1)-3(x+8)=30 equation: 


Simplifying
4(x + 1) + -3(x + 8) = 30

Reorder the terms:
4(1 + x) + -3(x + 8) = 30
(1 * 4 + x * 4) + -3(x + 8) = 30
(4 + 4x) + -3(x + 8) = 30

Reorder the terms:
4 + 4x + -3(8 + x) = 30
4 + 4x + (8 * -3 + x * -3) = 30
4 + 4x + (-24 + -3x) = 30

Reorder the terms:
4 + -24 + 4x + -3x = 30

Combine like terms: 4 + -24 = -20
-20 + 4x + -3x = 30

Combine like terms: 4x + -3x = 1x
-20 + 1x = 30

Solving
-20 + 1x = 30

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 1x = 30 + 20

Combine like terms: -20 + 20 = 0
0 + 1x = 30 + 20
1x = 30 + 20

Combine like terms: 30 + 20 = 50
1x = 50

Divide each side by '1'.
x = 50

Simplifying
x = 50

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