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

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


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

Reorder the terms:
-5 + 3x = 4(7 + -2x)
-5 + 3x = (7 * 4 + -2x * 4)
-5 + 3x = (28 + -8x)

Solving
-5 + 3x = 28 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-5 + 3x + 8x = 28 + -8x + 8x

Combine like terms: 3x + 8x = 11x
-5 + 11x = 28 + -8x + 8x

Combine like terms: -8x + 8x = 0
-5 + 11x = 28 + 0
-5 + 11x = 28

Add '5' to each side of the equation.
-5 + 5 + 11x = 28 + 5

Combine like terms: -5 + 5 = 0
0 + 11x = 28 + 5
11x = 28 + 5

Combine like terms: 28 + 5 = 33
11x = 33

Divide each side by '11'.
x = 3

Simplifying
x = 3

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