1-4(3x+4)-(6x-1)=6x-10

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Solution for 1-4(3x+4)-(6x-1)=6x-10 equation:


Simplifying
1 + -4(3x + 4) + -1(6x + -1) = 6x + -10

Reorder the terms:
1 + -4(4 + 3x) + -1(6x + -1) = 6x + -10
1 + (4 * -4 + 3x * -4) + -1(6x + -1) = 6x + -10
1 + (-16 + -12x) + -1(6x + -1) = 6x + -10

Reorder the terms:
1 + -16 + -12x + -1(-1 + 6x) = 6x + -10
1 + -16 + -12x + (-1 * -1 + 6x * -1) = 6x + -10
1 + -16 + -12x + (1 + -6x) = 6x + -10

Reorder the terms:
1 + -16 + 1 + -12x + -6x = 6x + -10

Combine like terms: 1 + -16 = -15
-15 + 1 + -12x + -6x = 6x + -10

Combine like terms: -15 + 1 = -14
-14 + -12x + -6x = 6x + -10

Combine like terms: -12x + -6x = -18x
-14 + -18x = 6x + -10

Reorder the terms:
-14 + -18x = -10 + 6x

Solving
-14 + -18x = -10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-14 + -18x + -6x = -10 + 6x + -6x

Combine like terms: -18x + -6x = -24x
-14 + -24x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-14 + -24x = -10 + 0
-14 + -24x = -10

Add '14' to each side of the equation.
-14 + 14 + -24x = -10 + 14

Combine like terms: -14 + 14 = 0
0 + -24x = -10 + 14
-24x = -10 + 14

Combine like terms: -10 + 14 = 4
-24x = 4

Divide each side by '-24'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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