x(5-3)+6=3x+(-19+18)

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Solution for x(5-3)+6=3x+(-19+18) equation:


Simplifying
x(5 + -3) + 6 = 3x + (-19 + 18)

Combine like terms: 5 + -3 = 2
x(2) + 6 = 3x + (-19 + 18)

Reorder the terms for easier multiplication:
2x + 6 = 3x + (-19 + 18)

Reorder the terms:
6 + 2x = 3x + (-19 + 18)

Combine like terms: -19 + 18 = -1
6 + 2x = 3x + (-1)
6 + 2x = 3x + -1

Reorder the terms:
6 + 2x = -1 + 3x

Solving
6 + 2x = -1 + 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.
6 + 2x + -3x = -1 + 3x + -3x

Combine like terms: 2x + -3x = -1x
6 + -1x = -1 + 3x + -3x

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

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

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

Combine like terms: -1 + -6 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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