3x+4(7x-1)=33x+2

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Solution for 3x+4(7x-1)=33x+2 equation:


Simplifying
3x + 4(7x + -1) = 33x + 2

Reorder the terms:
3x + 4(-1 + 7x) = 33x + 2
3x + (-1 * 4 + 7x * 4) = 33x + 2
3x + (-4 + 28x) = 33x + 2

Reorder the terms:
-4 + 3x + 28x = 33x + 2

Combine like terms: 3x + 28x = 31x
-4 + 31x = 33x + 2

Reorder the terms:
-4 + 31x = 2 + 33x

Solving
-4 + 31x = 2 + 33x

Solving for variable 'x'.

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

Add '-33x' to each side of the equation.
-4 + 31x + -33x = 2 + 33x + -33x

Combine like terms: 31x + -33x = -2x
-4 + -2x = 2 + 33x + -33x

Combine like terms: 33x + -33x = 0
-4 + -2x = 2 + 0
-4 + -2x = 2

Add '4' to each side of the equation.
-4 + 4 + -2x = 2 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = 2 + 4
-2x = 2 + 4

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

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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