6[9-(7x-2)]=210x+114

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Solution for 6[9-(7x-2)]=210x+114 equation:


Simplifying
6[9 + -1(7x + -2)] = 210x + 114

Reorder the terms:
6[9 + -1(-2 + 7x)] = 210x + 114
6[9 + (-2 * -1 + 7x * -1)] = 210x + 114
6[9 + (2 + -7x)] = 210x + 114

Combine like terms: 9 + 2 = 11
6[11 + -7x] = 210x + 114
[11 * 6 + -7x * 6] = 210x + 114
[66 + -42x] = 210x + 114

Reorder the terms:
66 + -42x = 114 + 210x

Solving
66 + -42x = 114 + 210x

Solving for variable 'x'.

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

Add '-210x' to each side of the equation.
66 + -42x + -210x = 114 + 210x + -210x

Combine like terms: -42x + -210x = -252x
66 + -252x = 114 + 210x + -210x

Combine like terms: 210x + -210x = 0
66 + -252x = 114 + 0
66 + -252x = 114

Add '-66' to each side of the equation.
66 + -66 + -252x = 114 + -66

Combine like terms: 66 + -66 = 0
0 + -252x = 114 + -66
-252x = 114 + -66

Combine like terms: 114 + -66 = 48
-252x = 48

Divide each side by '-252'.
x = -0.1904761905

Simplifying
x = -0.1904761905

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