2x-3(4x+1)=-3x-9

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Solution for 2x-3(4x+1)=-3x-9 equation:


Simplifying
2x + -3(4x + 1) = -3x + -9

Reorder the terms:
2x + -3(1 + 4x) = -3x + -9
2x + (1 * -3 + 4x * -3) = -3x + -9
2x + (-3 + -12x) = -3x + -9

Reorder the terms:
-3 + 2x + -12x = -3x + -9

Combine like terms: 2x + -12x = -10x
-3 + -10x = -3x + -9

Reorder the terms:
-3 + -10x = -9 + -3x

Solving
-3 + -10x = -9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-3 + -10x + 3x = -9 + -3x + 3x

Combine like terms: -10x + 3x = -7x
-3 + -7x = -9 + -3x + 3x

Combine like terms: -3x + 3x = 0
-3 + -7x = -9 + 0
-3 + -7x = -9

Add '3' to each side of the equation.
-3 + 3 + -7x = -9 + 3

Combine like terms: -3 + 3 = 0
0 + -7x = -9 + 3
-7x = -9 + 3

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

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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