4(2x-3)-(2x-5)=11

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Solution for 4(2x-3)-(2x-5)=11 equation:


Simplifying
4(2x + -3) + -1(2x + -5) = 11

Reorder the terms:
4(-3 + 2x) + -1(2x + -5) = 11
(-3 * 4 + 2x * 4) + -1(2x + -5) = 11
(-12 + 8x) + -1(2x + -5) = 11

Reorder the terms:
-12 + 8x + -1(-5 + 2x) = 11
-12 + 8x + (-5 * -1 + 2x * -1) = 11
-12 + 8x + (5 + -2x) = 11

Reorder the terms:
-12 + 5 + 8x + -2x = 11

Combine like terms: -12 + 5 = -7
-7 + 8x + -2x = 11

Combine like terms: 8x + -2x = 6x
-7 + 6x = 11

Solving
-7 + 6x = 11

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 6x = 11 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 11 + 7
6x = 11 + 7

Combine like terms: 11 + 7 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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