3(7-2x)=11-4(2x-3)

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Solution for 3(7-2x)=11-4(2x-3) equation:


Simplifying
3(7 + -2x) = 11 + -4(2x + -3)
(7 * 3 + -2x * 3) = 11 + -4(2x + -3)
(21 + -6x) = 11 + -4(2x + -3)

Reorder the terms:
21 + -6x = 11 + -4(-3 + 2x)
21 + -6x = 11 + (-3 * -4 + 2x * -4)
21 + -6x = 11 + (12 + -8x)

Combine like terms: 11 + 12 = 23
21 + -6x = 23 + -8x

Solving
21 + -6x = 23 + -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.
21 + -6x + 8x = 23 + -8x + 8x

Combine like terms: -6x + 8x = 2x
21 + 2x = 23 + -8x + 8x

Combine like terms: -8x + 8x = 0
21 + 2x = 23 + 0
21 + 2x = 23

Add '-21' to each side of the equation.
21 + -21 + 2x = 23 + -21

Combine like terms: 21 + -21 = 0
0 + 2x = 23 + -21
2x = 23 + -21

Combine like terms: 23 + -21 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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