3x-13x-4=4(4x+6)

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Solution for 3x-13x-4=4(4x+6) equation:


Simplifying
3x + -13x + -4 = 4(4x + 6)

Reorder the terms:
-4 + 3x + -13x = 4(4x + 6)

Combine like terms: 3x + -13x = -10x
-4 + -10x = 4(4x + 6)

Reorder the terms:
-4 + -10x = 4(6 + 4x)
-4 + -10x = (6 * 4 + 4x * 4)
-4 + -10x = (24 + 16x)

Solving
-4 + -10x = 24 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-4 + -10x + -16x = 24 + 16x + -16x

Combine like terms: -10x + -16x = -26x
-4 + -26x = 24 + 16x + -16x

Combine like terms: 16x + -16x = 0
-4 + -26x = 24 + 0
-4 + -26x = 24

Add '4' to each side of the equation.
-4 + 4 + -26x = 24 + 4

Combine like terms: -4 + 4 = 0
0 + -26x = 24 + 4
-26x = 24 + 4

Combine like terms: 24 + 4 = 28
-26x = 28

Divide each side by '-26'.
x = -1.076923077

Simplifying
x = -1.076923077

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