3(4x-8)+2=7x-11

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Solution for 3(4x-8)+2=7x-11 equation:


Simplifying
3(4x + -8) + 2 = 7x + -11

Reorder the terms:
3(-8 + 4x) + 2 = 7x + -11
(-8 * 3 + 4x * 3) + 2 = 7x + -11
(-24 + 12x) + 2 = 7x + -11

Reorder the terms:
-24 + 2 + 12x = 7x + -11

Combine like terms: -24 + 2 = -22
-22 + 12x = 7x + -11

Reorder the terms:
-22 + 12x = -11 + 7x

Solving
-22 + 12x = -11 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-22 + 12x + -7x = -11 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-22 + 5x = -11 + 7x + -7x

Combine like terms: 7x + -7x = 0
-22 + 5x = -11 + 0
-22 + 5x = -11

Add '22' to each side of the equation.
-22 + 22 + 5x = -11 + 22

Combine like terms: -22 + 22 = 0
0 + 5x = -11 + 22
5x = -11 + 22

Combine like terms: -11 + 22 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2

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