6(3x-1)+3(2x+3)=1-7x

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Solution for 6(3x-1)+3(2x+3)=1-7x equation:


Simplifying
6(3x + -1) + 3(2x + 3) = 1 + -7x

Reorder the terms:
6(-1 + 3x) + 3(2x + 3) = 1 + -7x
(-1 * 6 + 3x * 6) + 3(2x + 3) = 1 + -7x
(-6 + 18x) + 3(2x + 3) = 1 + -7x

Reorder the terms:
-6 + 18x + 3(3 + 2x) = 1 + -7x
-6 + 18x + (3 * 3 + 2x * 3) = 1 + -7x
-6 + 18x + (9 + 6x) = 1 + -7x

Reorder the terms:
-6 + 9 + 18x + 6x = 1 + -7x

Combine like terms: -6 + 9 = 3
3 + 18x + 6x = 1 + -7x

Combine like terms: 18x + 6x = 24x
3 + 24x = 1 + -7x

Solving
3 + 24x = 1 + -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.
3 + 24x + 7x = 1 + -7x + 7x

Combine like terms: 24x + 7x = 31x
3 + 31x = 1 + -7x + 7x

Combine like terms: -7x + 7x = 0
3 + 31x = 1 + 0
3 + 31x = 1

Add '-3' to each side of the equation.
3 + -3 + 31x = 1 + -3

Combine like terms: 3 + -3 = 0
0 + 31x = 1 + -3
31x = 1 + -3

Combine like terms: 1 + -3 = -2
31x = -2

Divide each side by '31'.
x = -0.06451612903

Simplifying
x = -0.06451612903

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