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

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


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

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

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

Combine like terms: -15 + -6 = -21
-21 + 5x = 4x + -3

Reorder the terms:
-21 + 5x = -3 + 4x

Solving
-21 + 5x = -3 + 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.
-21 + 5x + -4x = -3 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-21 + 1x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-21 + 1x = -3 + 0
-21 + 1x = -3

Add '21' to each side of the equation.
-21 + 21 + 1x = -3 + 21

Combine like terms: -21 + 21 = 0
0 + 1x = -3 + 21
1x = -3 + 21

Combine like terms: -3 + 21 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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