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

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


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

Reorder the terms:
6(-2 + 3x) + -4(4x + 1) = 2
(-2 * 6 + 3x * 6) + -4(4x + 1) = 2
(-12 + 18x) + -4(4x + 1) = 2

Reorder the terms:
-12 + 18x + -4(1 + 4x) = 2
-12 + 18x + (1 * -4 + 4x * -4) = 2
-12 + 18x + (-4 + -16x) = 2

Reorder the terms:
-12 + -4 + 18x + -16x = 2

Combine like terms: -12 + -4 = -16
-16 + 18x + -16x = 2

Combine like terms: 18x + -16x = 2x
-16 + 2x = 2

Solving
-16 + 2x = 2

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 2x = 2 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = 2 + 16
2x = 2 + 16

Combine like terms: 2 + 16 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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