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

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


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

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

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

Solving
4 + -4x = -18 + 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.
4 + -4x + -6x = -18 + 6x + -6x

Combine like terms: -4x + -6x = -10x
4 + -10x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -10x = -18 + 0
4 + -10x = -18

Add '-4' to each side of the equation.
4 + -4 + -10x = -18 + -4

Combine like terms: 4 + -4 = 0
0 + -10x = -18 + -4
-10x = -18 + -4

Combine like terms: -18 + -4 = -22
-10x = -22

Divide each side by '-10'.
x = 2.2

Simplifying
x = 2.2

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