5*(8-2x)=6*(4x-7)+14

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Solution for 5*(8-2x)=6*(4x-7)+14 equation: 


Simplifying
5(8 + -2x) = 6(4x + -7) + 14
(8 * 5 + -2x * 5) = 6(4x + -7) + 14
(40 + -10x) = 6(4x + -7) + 14

Reorder the terms:
40 + -10x = 6(-7 + 4x) + 14
40 + -10x = (-7 * 6 + 4x * 6) + 14
40 + -10x = (-42 + 24x) + 14

Reorder the terms:
40 + -10x = -42 + 14 + 24x

Combine like terms: -42 + 14 = -28
40 + -10x = -28 + 24x

Solving
40 + -10x = -28 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
40 + -10x + -24x = -28 + 24x + -24x

Combine like terms: -10x + -24x = -34x
40 + -34x = -28 + 24x + -24x

Combine like terms: 24x + -24x = 0
40 + -34x = -28 + 0
40 + -34x = -28

Add '-40' to each side of the equation.
40 + -40 + -34x = -28 + -40

Combine like terms: 40 + -40 = 0
0 + -34x = -28 + -40
-34x = -28 + -40

Combine like terms: -28 + -40 = -68
-34x = -68

Divide each side by '-34'.
x = 2

Simplifying
x = 2

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