6[7-6(x-2)]=-6+4x

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Solution for 6[7-6(x-2)]=-6+4x equation:


Simplifying
6[7 + -6(x + -2)] = -6 + 4x

Reorder the terms:
6[7 + -6(-2 + x)] = -6 + 4x
6[7 + (-2 * -6 + x * -6)] = -6 + 4x
6[7 + (12 + -6x)] = -6 + 4x

Combine like terms: 7 + 12 = 19
6[19 + -6x] = -6 + 4x
[19 * 6 + -6x * 6] = -6 + 4x
[114 + -36x] = -6 + 4x

Solving
114 + -36x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
114 + -36x + -4x = -6 + 4x + -4x

Combine like terms: -36x + -4x = -40x
114 + -40x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
114 + -40x = -6 + 0
114 + -40x = -6

Add '-114' to each side of the equation.
114 + -114 + -40x = -6 + -114

Combine like terms: 114 + -114 = 0
0 + -40x = -6 + -114
-40x = -6 + -114

Combine like terms: -6 + -114 = -120
-40x = -120

Divide each side by '-40'.
x = 3

Simplifying
x = 3

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