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

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


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

Reorder the terms:
-7 + 3x = 5(2 + -4x)
-7 + 3x = (2 * 5 + -4x * 5)
-7 + 3x = (10 + -20x)

Solving
-7 + 3x = 10 + -20x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '20x' to each side of the equation.
-7 + 3x + 20x = 10 + -20x + 20x

Combine like terms: 3x + 20x = 23x
-7 + 23x = 10 + -20x + 20x

Combine like terms: -20x + 20x = 0
-7 + 23x = 10 + 0
-7 + 23x = 10

Add '7' to each side of the equation.
-7 + 7 + 23x = 10 + 7

Combine like terms: -7 + 7 = 0
0 + 23x = 10 + 7
23x = 10 + 7

Combine like terms: 10 + 7 = 17
23x = 17

Divide each side by '23'.
x = 0.7391304348

Simplifying
x = 0.7391304348

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