-6(x-4)=7(2x-3)

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Solution for -6(x-4)=7(2x-3) equation:


Simplifying
-6(x + -4) = 7(2x + -3)

Reorder the terms:
-6(-4 + x) = 7(2x + -3)
(-4 * -6 + x * -6) = 7(2x + -3)
(24 + -6x) = 7(2x + -3)

Reorder the terms:
24 + -6x = 7(-3 + 2x)
24 + -6x = (-3 * 7 + 2x * 7)
24 + -6x = (-21 + 14x)

Solving
24 + -6x = -21 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
24 + -6x + -14x = -21 + 14x + -14x

Combine like terms: -6x + -14x = -20x
24 + -20x = -21 + 14x + -14x

Combine like terms: 14x + -14x = 0
24 + -20x = -21 + 0
24 + -20x = -21

Add '-24' to each side of the equation.
24 + -24 + -20x = -21 + -24

Combine like terms: 24 + -24 = 0
0 + -20x = -21 + -24
-20x = -21 + -24

Combine like terms: -21 + -24 = -45
-20x = -45

Divide each side by '-20'.
x = 2.25

Simplifying
x = 2.25

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