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

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


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

Reorder the terms:
3 + -4(-4 + x) = 6x + -13
3 + (-4 * -4 + x * -4) = 6x + -13
3 + (16 + -4x) = 6x + -13

Combine like terms: 3 + 16 = 19
19 + -4x = 6x + -13

Reorder the terms:
19 + -4x = -13 + 6x

Solving
19 + -4x = -13 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
19 + -4x + -6x = -13 + 6x + -6x

Combine like terms: -4x + -6x = -10x
19 + -10x = -13 + 6x + -6x

Combine like terms: 6x + -6x = 0
19 + -10x = -13 + 0
19 + -10x = -13

Add '-19' to each side of the equation.
19 + -19 + -10x = -13 + -19

Combine like terms: 19 + -19 = 0
0 + -10x = -13 + -19
-10x = -13 + -19

Combine like terms: -13 + -19 = -32
-10x = -32

Divide each side by '-10'.
x = 3.2

Simplifying
x = 3.2

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