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

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


Simplifying
2(7 + -2x) = 11 + -4(2x + -3)
(7 * 2 + -2x * 2) = 11 + -4(2x + -3)
(14 + -4x) = 11 + -4(2x + -3)

Reorder the terms:
14 + -4x = 11 + -4(-3 + 2x)
14 + -4x = 11 + (-3 * -4 + 2x * -4)
14 + -4x = 11 + (12 + -8x)

Combine like terms: 11 + 12 = 23
14 + -4x = 23 + -8x

Solving
14 + -4x = 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.
14 + -4x + 8x = 23 + -8x + 8x

Combine like terms: -4x + 8x = 4x
14 + 4x = 23 + -8x + 8x

Combine like terms: -8x + 8x = 0
14 + 4x = 23 + 0
14 + 4x = 23

Add '-14' to each side of the equation.
14 + -14 + 4x = 23 + -14

Combine like terms: 14 + -14 = 0
0 + 4x = 23 + -14
4x = 23 + -14

Combine like terms: 23 + -14 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25

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