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 = -9
-9 + 5x = 4x + -3

Reorder the terms:
-9 + 5x = -3 + 4x

Solving
-9 + 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.
-9 + 5x + -4x = -3 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-9 + 1x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + 1x = -3 + 0
-9 + 1x = -3

Add '9' to each side of the equation.
-9 + 9 + 1x = -3 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -3 + 9
1x = -3 + 9

Combine like terms: -3 + 9 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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