(4x-7)+(2x+1)=30

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Solution for (4x-7)+(2x+1)=30 equation:


Simplifying
(4x + -7) + (2x + 1) = 30

Reorder the terms:
(-7 + 4x) + (2x + 1) = 30

Remove parenthesis around (-7 + 4x)
-7 + 4x + (2x + 1) = 30

Reorder the terms:
-7 + 4x + (1 + 2x) = 30

Remove parenthesis around (1 + 2x)
-7 + 4x + 1 + 2x = 30

Reorder the terms:
-7 + 1 + 4x + 2x = 30

Combine like terms: -7 + 1 = -6
-6 + 4x + 2x = 30

Combine like terms: 4x + 2x = 6x
-6 + 6x = 30

Solving
-6 + 6x = 30

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 6x = 30 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = 30 + 6
6x = 30 + 6

Combine like terms: 30 + 6 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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