4(x-7)+(3x+1)=30

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Solution for 4(x-7)+(3x+1)=30 equation: 


Simplifying
4(x + -7) + (3x + 1) = 30

Reorder the terms:
4(-7 + x) + (3x + 1) = 30
(-7 * 4 + x * 4) + (3x + 1) = 30
(-28 + 4x) + (3x + 1) = 30

Reorder the terms:
-28 + 4x + (1 + 3x) = 30

Remove parenthesis around (1 + 3x)
-28 + 4x + 1 + 3x = 30

Reorder the terms:
-28 + 1 + 4x + 3x = 30

Combine like terms: -28 + 1 = -27
-27 + 4x + 3x = 30

Combine like terms: 4x + 3x = 7x
-27 + 7x = 30

Solving
-27 + 7x = 30

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 7x = 30 + 27

Combine like terms: -27 + 27 = 0
0 + 7x = 30 + 27
7x = 30 + 27

Combine like terms: 30 + 27 = 57
7x = 57

Divide each side by '7'.
x = 8.142857143

Simplifying
x = 8.142857143

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