6x-2(4x+9)=14+3(4x+15)

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Solution for 6x-2(4x+9)=14+3(4x+15) equation:


Simplifying
6x + -2(4x + 9) = 14 + 3(4x + 15)

Reorder the terms:
6x + -2(9 + 4x) = 14 + 3(4x + 15)
6x + (9 * -2 + 4x * -2) = 14 + 3(4x + 15)
6x + (-18 + -8x) = 14 + 3(4x + 15)

Reorder the terms:
-18 + 6x + -8x = 14 + 3(4x + 15)

Combine like terms: 6x + -8x = -2x
-18 + -2x = 14 + 3(4x + 15)

Reorder the terms:
-18 + -2x = 14 + 3(15 + 4x)
-18 + -2x = 14 + (15 * 3 + 4x * 3)
-18 + -2x = 14 + (45 + 12x)

Combine like terms: 14 + 45 = 59
-18 + -2x = 59 + 12x

Solving
-18 + -2x = 59 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-18 + -2x + -12x = 59 + 12x + -12x

Combine like terms: -2x + -12x = -14x
-18 + -14x = 59 + 12x + -12x

Combine like terms: 12x + -12x = 0
-18 + -14x = 59 + 0
-18 + -14x = 59

Add '18' to each side of the equation.
-18 + 18 + -14x = 59 + 18

Combine like terms: -18 + 18 = 0
0 + -14x = 59 + 18
-14x = 59 + 18

Combine like terms: 59 + 18 = 77
-14x = 77

Divide each side by '-14'.
x = -5.5

Simplifying
x = -5.5

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