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

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


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

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

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

Combine like terms: 4 + -1 = 3
-21 + 6x = 3 + -2x

Solving
-21 + 6x = 3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-21 + 6x + 2x = 3 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-21 + 8x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-21 + 8x = 3 + 0
-21 + 8x = 3

Add '21' to each side of the equation.
-21 + 21 + 8x = 3 + 21

Combine like terms: -21 + 21 = 0
0 + 8x = 3 + 21
8x = 3 + 21

Combine like terms: 3 + 21 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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