5(-30+38)=7(8-6x)

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Solution for 5(-30+38)=7(8-6x) equation: 


Simplifying
5(-30 + 38) = 7(8 + -6x)

Combine like terms: -30 + 38 = 8
5(8) = 7(8 + -6x)

Multiply 5 * 8
40 = 7(8 + -6x)
40 = (8 * 7 + -6x * 7)
40 = (56 + -42x)

Solving
40 = 56 + -42x

Solving for variable 'x'.

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

Add '42x' to each side of the equation.
40 + 42x = 56 + -42x + 42x

Combine like terms: -42x + 42x = 0
40 + 42x = 56 + 0
40 + 42x = 56

Add '-40' to each side of the equation.
40 + -40 + 42x = 56 + -40

Combine like terms: 40 + -40 = 0
0 + 42x = 56 + -40
42x = 56 + -40

Combine like terms: 56 + -40 = 16
42x = 16

Divide each side by '42'.
x = 0.380952381

Simplifying
x = 0.380952381

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