3(2x+7)+1=-4(6x+2)

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Solution for 3(2x+7)+1=-4(6x+2) equation:


Simplifying
3(2x + 7) + 1 = -4(6x + 2)

Reorder the terms:
3(7 + 2x) + 1 = -4(6x + 2)
(7 * 3 + 2x * 3) + 1 = -4(6x + 2)
(21 + 6x) + 1 = -4(6x + 2)

Reorder the terms:
21 + 1 + 6x = -4(6x + 2)

Combine like terms: 21 + 1 = 22
22 + 6x = -4(6x + 2)

Reorder the terms:
22 + 6x = -4(2 + 6x)
22 + 6x = (2 * -4 + 6x * -4)
22 + 6x = (-8 + -24x)

Solving
22 + 6x = -8 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
22 + 6x + 24x = -8 + -24x + 24x

Combine like terms: 6x + 24x = 30x
22 + 30x = -8 + -24x + 24x

Combine like terms: -24x + 24x = 0
22 + 30x = -8 + 0
22 + 30x = -8

Add '-22' to each side of the equation.
22 + -22 + 30x = -8 + -22

Combine like terms: 22 + -22 = 0
0 + 30x = -8 + -22
30x = -8 + -22

Combine like terms: -8 + -22 = -30
30x = -30

Divide each side by '30'.
x = -1

Simplifying
x = -1

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