3(-4x+7)=2x-5

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Solution for 3(-4x+7)=2x-5 equation:


Simplifying
3(-4x + 7) = 2x + -5

Reorder the terms:
3(7 + -4x) = 2x + -5
(7 * 3 + -4x * 3) = 2x + -5
(21 + -12x) = 2x + -5

Reorder the terms:
21 + -12x = -5 + 2x

Solving
21 + -12x = -5 + 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 + -12x + -2x = -5 + 2x + -2x

Combine like terms: -12x + -2x = -14x
21 + -14x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + -14x = -5 + 0
21 + -14x = -5

Add '-21' to each side of the equation.
21 + -21 + -14x = -5 + -21

Combine like terms: 21 + -21 = 0
0 + -14x = -5 + -21
-14x = -5 + -21

Combine like terms: -5 + -21 = -26
-14x = -26

Divide each side by '-14'.
x = 1.857142857

Simplifying
x = 1.857142857

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