6[3+6(5x-1)]=7x-710

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Solution for 6[3+6(5x-1)]=7x-710 equation:


Simplifying
6[3 + 6(5x + -1)] = 7x + -710

Reorder the terms:
6[3 + 6(-1 + 5x)] = 7x + -710
6[3 + (-1 * 6 + 5x * 6)] = 7x + -710
6[3 + (-6 + 30x)] = 7x + -710

Combine like terms: 3 + -6 = -3
6[-3 + 30x] = 7x + -710
[-3 * 6 + 30x * 6] = 7x + -710
[-18 + 180x] = 7x + -710

Reorder the terms:
-18 + 180x = -710 + 7x

Solving
-18 + 180x = -710 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-18 + 180x + -7x = -710 + 7x + -7x

Combine like terms: 180x + -7x = 173x
-18 + 173x = -710 + 7x + -7x

Combine like terms: 7x + -7x = 0
-18 + 173x = -710 + 0
-18 + 173x = -710

Add '18' to each side of the equation.
-18 + 18 + 173x = -710 + 18

Combine like terms: -18 + 18 = 0
0 + 173x = -710 + 18
173x = -710 + 18

Combine like terms: -710 + 18 = -692
173x = -692

Divide each side by '173'.
x = -4

Simplifying
x = -4

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