-3(x-6)=7x-5

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Solution for -3(x-6)=7x-5 equation:


Simplifying
-3(x + -6) = 7x + -5

Reorder the terms:
-3(-6 + x) = 7x + -5
(-6 * -3 + x * -3) = 7x + -5
(18 + -3x) = 7x + -5

Reorder the terms:
18 + -3x = -5 + 7x

Solving
18 + -3x = -5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
18 + -3x + -7x = -5 + 7x + -7x

Combine like terms: -3x + -7x = -10x
18 + -10x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
18 + -10x = -5 + 0
18 + -10x = -5

Add '-18' to each side of the equation.
18 + -18 + -10x = -5 + -18

Combine like terms: 18 + -18 = 0
0 + -10x = -5 + -18
-10x = -5 + -18

Combine like terms: -5 + -18 = -23
-10x = -23

Divide each side by '-10'.
x = 2.3

Simplifying
x = 2.3

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