-6x-3(4x+9)=14-4(-2x+7)

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Solution for -6x-3(4x+9)=14-4(-2x+7) equation:


Simplifying
-6x + -3(4x + 9) = 14 + -4(-2x + 7)

Reorder the terms:
-6x + -3(9 + 4x) = 14 + -4(-2x + 7)
-6x + (9 * -3 + 4x * -3) = 14 + -4(-2x + 7)
-6x + (-27 + -12x) = 14 + -4(-2x + 7)

Reorder the terms:
-27 + -6x + -12x = 14 + -4(-2x + 7)

Combine like terms: -6x + -12x = -18x
-27 + -18x = 14 + -4(-2x + 7)

Reorder the terms:
-27 + -18x = 14 + -4(7 + -2x)
-27 + -18x = 14 + (7 * -4 + -2x * -4)
-27 + -18x = 14 + (-28 + 8x)

Combine like terms: 14 + -28 = -14
-27 + -18x = -14 + 8x

Solving
-27 + -18x = -14 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-27 + -18x + -8x = -14 + 8x + -8x

Combine like terms: -18x + -8x = -26x
-27 + -26x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
-27 + -26x = -14 + 0
-27 + -26x = -14

Add '27' to each side of the equation.
-27 + 27 + -26x = -14 + 27

Combine like terms: -27 + 27 = 0
0 + -26x = -14 + 27
-26x = -14 + 27

Combine like terms: -14 + 27 = 13
-26x = 13

Divide each side by '-26'.
x = -0.5

Simplifying
x = -0.5

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