5(7x-2)+4(-2+8)=-24+68x

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Solution for 5(7x-2)+4(-2+8)=-24+68x equation: 


Simplifying
5(7x + -2) + 4(-2 + 8) = -24 + 68x

Reorder the terms:
5(-2 + 7x) + 4(-2 + 8) = -24 + 68x
(-2 * 5 + 7x * 5) + 4(-2 + 8) = -24 + 68x
(-10 + 35x) + 4(-2 + 8) = -24 + 68x

Combine like terms: -2 + 8 = 6
-10 + 35x + 4(6) = -24 + 68x

Multiply 4 * 6
-10 + 35x + 24 = -24 + 68x

Reorder the terms:
-10 + 24 + 35x = -24 + 68x

Combine like terms: -10 + 24 = 14
14 + 35x = -24 + 68x

Solving
14 + 35x = -24 + 68x

Solving for variable 'x'.

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

Add '-68x' to each side of the equation.
14 + 35x + -68x = -24 + 68x + -68x

Combine like terms: 35x + -68x = -33x
14 + -33x = -24 + 68x + -68x

Combine like terms: 68x + -68x = 0
14 + -33x = -24 + 0
14 + -33x = -24

Add '-14' to each side of the equation.
14 + -14 + -33x = -24 + -14

Combine like terms: 14 + -14 = 0
0 + -33x = -24 + -14
-33x = -24 + -14

Combine like terms: -24 + -14 = -38
-33x = -38

Divide each side by '-33'.
x = 1.151515152

Simplifying
x = 1.151515152

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