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

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


Simplifying
7(3 + -4x) = 2x + -5
(3 * 7 + -4x * 7) = 2x + -5
(21 + -28x) = 2x + -5

Reorder the terms:
21 + -28x = -5 + 2x

Solving
21 + -28x = -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 + -28x + -2x = -5 + 2x + -2x

Combine like terms: -28x + -2x = -30x
21 + -30x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + -30x = -5 + 0
21 + -30x = -5

Add '-21' to each side of the equation.
21 + -21 + -30x = -5 + -21

Combine like terms: 21 + -21 = 0
0 + -30x = -5 + -21
-30x = -5 + -21

Combine like terms: -5 + -21 = -26
-30x = -26

Divide each side by '-30'.
x = 0.8666666667

Simplifying
x = 0.8666666667

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