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

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


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

Reorder the terms:
3(-4 + 2x) = 7x + -11
(-4 * 3 + 2x * 3) = 7x + -11
(-12 + 6x) = 7x + -11

Reorder the terms:
-12 + 6x = -11 + 7x

Solving
-12 + 6x = -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.
-12 + 6x + -7x = -11 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-12 + -1x = -11 + 7x + -7x

Combine like terms: 7x + -7x = 0
-12 + -1x = -11 + 0
-12 + -1x = -11

Add '12' to each side of the equation.
-12 + 12 + -1x = -11 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = -11 + 12
-1x = -11 + 12

Combine like terms: -11 + 12 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

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