4x-3[3(x-12)+1]=10

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Solution for 4x-3[3(x-12)+1]=10 equation: 


Simplifying
4x + -3[3(x + -12) + 1] = 10

Reorder the terms:
4x + -3[3(-12 + x) + 1] = 10
4x + -3[(-12 * 3 + x * 3) + 1] = 10
4x + -3[(-36 + 3x) + 1] = 10

Reorder the terms:
4x + -3[-36 + 1 + 3x] = 10

Combine like terms: -36 + 1 = -35
4x + -3[-35 + 3x] = 10
4x + [-35 * -3 + 3x * -3] = 10
4x + [105 + -9x] = 10

Reorder the terms:
105 + 4x + -9x = 10

Combine like terms: 4x + -9x = -5x
105 + -5x = 10

Solving
105 + -5x = 10

Solving for variable 'x'.

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

Add '-105' to each side of the equation.
105 + -105 + -5x = 10 + -105

Combine like terms: 105 + -105 = 0
0 + -5x = 10 + -105
-5x = 10 + -105

Combine like terms: 10 + -105 = -95
-5x = -95

Divide each side by '-5'.
x = 19

Simplifying
x = 19

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