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

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


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

Reorder the terms:
3(-3 + 2x) + 4(4x + -1) = -2
(-3 * 3 + 2x * 3) + 4(4x + -1) = -2
(-9 + 6x) + 4(4x + -1) = -2

Reorder the terms:
-9 + 6x + 4(-1 + 4x) = -2
-9 + 6x + (-1 * 4 + 4x * 4) = -2
-9 + 6x + (-4 + 16x) = -2

Reorder the terms:
-9 + -4 + 6x + 16x = -2

Combine like terms: -9 + -4 = -13
-13 + 6x + 16x = -2

Combine like terms: 6x + 16x = 22x
-13 + 22x = -2

Solving
-13 + 22x = -2

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 22x = -2 + 13

Combine like terms: -13 + 13 = 0
0 + 22x = -2 + 13
22x = -2 + 13

Combine like terms: -2 + 13 = 11
22x = 11

Divide each side by '22'.
x = 0.5

Simplifying
x = 0.5

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