10x-15=6x-33

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Solution for 10x-15=6x-33 equation:


Simplifying
10x + -15 = 6x + -33

Reorder the terms:
-15 + 10x = 6x + -33

Reorder the terms:
-15 + 10x = -33 + 6x

Solving
-15 + 10x = -33 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-15 + 10x + -6x = -33 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-15 + 4x = -33 + 6x + -6x

Combine like terms: 6x + -6x = 0
-15 + 4x = -33 + 0
-15 + 4x = -33

Add '15' to each side of the equation.
-15 + 15 + 4x = -33 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = -33 + 15
4x = -33 + 15

Combine like terms: -33 + 15 = -18
4x = -18

Divide each side by '4'.
x = -4.5

Simplifying
x = -4.5

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