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

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


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

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

Reorder the terms:
21 + -3x = -4 + 2x

Solving
21 + -3x = -4 + 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 + -3x + -2x = -4 + 2x + -2x

Combine like terms: -3x + -2x = -5x
21 + -5x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + -5x = -4 + 0
21 + -5x = -4

Add '-21' to each side of the equation.
21 + -21 + -5x = -4 + -21

Combine like terms: 21 + -21 = 0
0 + -5x = -4 + -21
-5x = -4 + -21

Combine like terms: -4 + -21 = -25
-5x = -25

Divide each side by '-5'.
x = 5

Simplifying
x = 5

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