3(x-7)=4x-24

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Solution for 3(x-7)=4x-24 equation:


Simplifying
3(x + -7) = 4x + -24

Reorder the terms:
3(-7 + x) = 4x + -24
(-7 * 3 + x * 3) = 4x + -24
(-21 + 3x) = 4x + -24

Reorder the terms:
-21 + 3x = -24 + 4x

Solving
-21 + 3x = -24 + 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 = -24 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-21 + -1x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-21 + -1x = -24 + 0
-21 + -1x = -24

Add '21' to each side of the equation.
-21 + 21 + -1x = -24 + 21

Combine like terms: -21 + 21 = 0
0 + -1x = -24 + 21
-1x = -24 + 21

Combine like terms: -24 + 21 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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