3(4x-7)=8x+14

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Solution for 3(4x-7)=8x+14 equation:


Simplifying
3(4x + -7) = 8x + 14

Reorder the terms:
3(-7 + 4x) = 8x + 14
(-7 * 3 + 4x * 3) = 8x + 14
(-21 + 12x) = 8x + 14

Reorder the terms:
-21 + 12x = 14 + 8x

Solving
-21 + 12x = 14 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-21 + 12x + -8x = 14 + 8x + -8x

Combine like terms: 12x + -8x = 4x
-21 + 4x = 14 + 8x + -8x

Combine like terms: 8x + -8x = 0
-21 + 4x = 14 + 0
-21 + 4x = 14

Add '21' to each side of the equation.
-21 + 21 + 4x = 14 + 21

Combine like terms: -21 + 21 = 0
0 + 4x = 14 + 21
4x = 14 + 21

Combine like terms: 14 + 21 = 35
4x = 35

Divide each side by '4'.
x = 8.75

Simplifying
x = 8.75

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