-5(x-4)+2(6x-3)=28

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Solution for -5(x-4)+2(6x-3)=28 equation:


Simplifying
-5(x + -4) + 2(6x + -3) = 28

Reorder the terms:
-5(-4 + x) + 2(6x + -3) = 28
(-4 * -5 + x * -5) + 2(6x + -3) = 28
(20 + -5x) + 2(6x + -3) = 28

Reorder the terms:
20 + -5x + 2(-3 + 6x) = 28
20 + -5x + (-3 * 2 + 6x * 2) = 28
20 + -5x + (-6 + 12x) = 28

Reorder the terms:
20 + -6 + -5x + 12x = 28

Combine like terms: 20 + -6 = 14
14 + -5x + 12x = 28

Combine like terms: -5x + 12x = 7x
14 + 7x = 28

Solving
14 + 7x = 28

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 7x = 28 + -14

Combine like terms: 14 + -14 = 0
0 + 7x = 28 + -14
7x = 28 + -14

Combine like terms: 28 + -14 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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