-6(2x+1)-3(x-4)=-16x+1

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Solution for -6(2x+1)-3(x-4)=-16x+1 equation:


Simplifying
-6(2x + 1) + -3(x + -4) = -16x + 1

Reorder the terms:
-6(1 + 2x) + -3(x + -4) = -16x + 1
(1 * -6 + 2x * -6) + -3(x + -4) = -16x + 1
(-6 + -12x) + -3(x + -4) = -16x + 1

Reorder the terms:
-6 + -12x + -3(-4 + x) = -16x + 1
-6 + -12x + (-4 * -3 + x * -3) = -16x + 1
-6 + -12x + (12 + -3x) = -16x + 1

Reorder the terms:
-6 + 12 + -12x + -3x = -16x + 1

Combine like terms: -6 + 12 = 6
6 + -12x + -3x = -16x + 1

Combine like terms: -12x + -3x = -15x
6 + -15x = -16x + 1

Reorder the terms:
6 + -15x = 1 + -16x

Solving
6 + -15x = 1 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
6 + -15x + 16x = 1 + -16x + 16x

Combine like terms: -15x + 16x = 1x
6 + 1x = 1 + -16x + 16x

Combine like terms: -16x + 16x = 0
6 + 1x = 1 + 0
6 + 1x = 1

Add '-6' to each side of the equation.
6 + -6 + 1x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 1 + -6
1x = 1 + -6

Combine like terms: 1 + -6 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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