3(x-7)=4x-19

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Solution for 3(x-7)=4x-19 equation:


Simplifying
3(x + -7) = 4x + -19

Reorder the terms:
3(-7 + x) = 4x + -19
(-7 * 3 + x * 3) = 4x + -19
(-21 + 3x) = 4x + -19

Reorder the terms:
-21 + 3x = -19 + 4x

Solving
-21 + 3x = -19 + 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 = -19 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-21 + -1x = -19 + 4x + -4x

Combine like terms: 4x + -4x = 0
-21 + -1x = -19 + 0
-21 + -1x = -19

Add '21' to each side of the equation.
-21 + 21 + -1x = -19 + 21

Combine like terms: -21 + 21 = 0
0 + -1x = -19 + 21
-1x = -19 + 21

Combine like terms: -19 + 21 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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