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

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


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

Reorder the terms:
3(-3 + x) + 4(x + 1) = 30
(-3 * 3 + x * 3) + 4(x + 1) = 30
(-9 + 3x) + 4(x + 1) = 30

Reorder the terms:
-9 + 3x + 4(1 + x) = 30
-9 + 3x + (1 * 4 + x * 4) = 30
-9 + 3x + (4 + 4x) = 30

Reorder the terms:
-9 + 4 + 3x + 4x = 30

Combine like terms: -9 + 4 = -5
-5 + 3x + 4x = 30

Combine like terms: 3x + 4x = 7x
-5 + 7x = 30

Solving
-5 + 7x = 30

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 7x = 30 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 30 + 5
7x = 30 + 5

Combine like terms: 30 + 5 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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