6(70x+50)=10-(10x-30)

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Solution for 6(70x+50)=10-(10x-30) equation: 


Simplifying
6(70x + 50) = 10 + -1(10x + -30)

Reorder the terms:
6(50 + 70x) = 10 + -1(10x + -30)
(50 * 6 + 70x * 6) = 10 + -1(10x + -30)
(300 + 420x) = 10 + -1(10x + -30)

Reorder the terms:
300 + 420x = 10 + -1(-30 + 10x)
300 + 420x = 10 + (-30 * -1 + 10x * -1)
300 + 420x = 10 + (30 + -10x)

Combine like terms: 10 + 30 = 40
300 + 420x = 40 + -10x

Solving
300 + 420x = 40 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
300 + 420x + 10x = 40 + -10x + 10x

Combine like terms: 420x + 10x = 430x
300 + 430x = 40 + -10x + 10x

Combine like terms: -10x + 10x = 0
300 + 430x = 40 + 0
300 + 430x = 40

Add '-300' to each side of the equation.
300 + -300 + 430x = 40 + -300

Combine like terms: 300 + -300 = 0
0 + 430x = 40 + -300
430x = 40 + -300

Combine like terms: 40 + -300 = -260
430x = -260

Divide each side by '430'.
x = -0.6046511628

Simplifying
x = -0.6046511628

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