5(2x-4)-7(x-2)=6x-11

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Solution for 5(2x-4)-7(x-2)=6x-11 equation:


Simplifying
5(2x + -4) + -7(x + -2) = 6x + -11

Reorder the terms:
5(-4 + 2x) + -7(x + -2) = 6x + -11
(-4 * 5 + 2x * 5) + -7(x + -2) = 6x + -11
(-20 + 10x) + -7(x + -2) = 6x + -11

Reorder the terms:
-20 + 10x + -7(-2 + x) = 6x + -11
-20 + 10x + (-2 * -7 + x * -7) = 6x + -11
-20 + 10x + (14 + -7x) = 6x + -11

Reorder the terms:
-20 + 14 + 10x + -7x = 6x + -11

Combine like terms: -20 + 14 = -6
-6 + 10x + -7x = 6x + -11

Combine like terms: 10x + -7x = 3x
-6 + 3x = 6x + -11

Reorder the terms:
-6 + 3x = -11 + 6x

Solving
-6 + 3x = -11 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 3x + -6x = -11 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-6 + -3x = -11 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -3x = -11 + 0
-6 + -3x = -11

Add '6' to each side of the equation.
-6 + 6 + -3x = -11 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -11 + 6
-3x = -11 + 6

Combine like terms: -11 + 6 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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