-4(6-x)+5=3(x-2)

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Solution for -4(6-x)+5=3(x-2) equation:


Simplifying
-4(6 + -1x) + 5 = 3(x + -2)
(6 * -4 + -1x * -4) + 5 = 3(x + -2)
(-24 + 4x) + 5 = 3(x + -2)

Reorder the terms:
-24 + 5 + 4x = 3(x + -2)

Combine like terms: -24 + 5 = -19
-19 + 4x = 3(x + -2)

Reorder the terms:
-19 + 4x = 3(-2 + x)
-19 + 4x = (-2 * 3 + x * 3)
-19 + 4x = (-6 + 3x)

Solving
-19 + 4x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-19 + 4x + -3x = -6 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-19 + 1x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-19 + 1x = -6 + 0
-19 + 1x = -6

Add '19' to each side of the equation.
-19 + 19 + 1x = -6 + 19

Combine like terms: -19 + 19 = 0
0 + 1x = -6 + 19
1x = -6 + 19

Combine like terms: -6 + 19 = 13
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13

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