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

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


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

Reorder the terms:
3(4 + 7x) + -1x = 4(7x + 1)
(4 * 3 + 7x * 3) + -1x = 4(7x + 1)
(12 + 21x) + -1x = 4(7x + 1)

Combine like terms: 21x + -1x = 20x
12 + 20x = 4(7x + 1)

Reorder the terms:
12 + 20x = 4(1 + 7x)
12 + 20x = (1 * 4 + 7x * 4)
12 + 20x = (4 + 28x)

Solving
12 + 20x = 4 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
12 + 20x + -28x = 4 + 28x + -28x

Combine like terms: 20x + -28x = -8x
12 + -8x = 4 + 28x + -28x

Combine like terms: 28x + -28x = 0
12 + -8x = 4 + 0
12 + -8x = 4

Add '-12' to each side of the equation.
12 + -12 + -8x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + -8x = 4 + -12
-8x = 4 + -12

Combine like terms: 4 + -12 = -8
-8x = -8

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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