-3(x-5)=4x-6

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Solution for -3(x-5)=4x-6 equation:


Simplifying
-3(x + -5) = 4x + -6

Reorder the terms:
-3(-5 + x) = 4x + -6
(-5 * -3 + x * -3) = 4x + -6
(15 + -3x) = 4x + -6

Reorder the terms:
15 + -3x = -6 + 4x

Solving
15 + -3x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + -3x + -4x = -6 + 4x + -4x

Combine like terms: -3x + -4x = -7x
15 + -7x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -7x = -6 + 0
15 + -7x = -6

Add '-15' to each side of the equation.
15 + -15 + -7x = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = -6 + -15
-7x = -6 + -15

Combine like terms: -6 + -15 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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