3(x+7)=4x-7

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


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

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

Reorder the terms:
21 + 3x = -7 + 4x

Solving
21 + 3x = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
21 + 3x + -4x = -7 + 4x + -4x

Combine like terms: 3x + -4x = -1x
21 + -1x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
21 + -1x = -7 + 0
21 + -1x = -7

Add '-21' to each side of the equation.
21 + -21 + -1x = -7 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = -7 + -21
-1x = -7 + -21

Combine like terms: -7 + -21 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28

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