3x-15=10x-33

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Solution for 3x-15=10x-33 equation:


Simplifying
3x + -15 = 10x + -33

Reorder the terms:
-15 + 3x = 10x + -33

Reorder the terms:
-15 + 3x = -33 + 10x

Solving
-15 + 3x = -33 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-15 + 3x + -10x = -33 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-15 + -7x = -33 + 10x + -10x

Combine like terms: 10x + -10x = 0
-15 + -7x = -33 + 0
-15 + -7x = -33

Add '15' to each side of the equation.
-15 + 15 + -7x = -33 + 15

Combine like terms: -15 + 15 = 0
0 + -7x = -33 + 15
-7x = -33 + 15

Combine like terms: -33 + 15 = -18
-7x = -18

Divide each side by '-7'.
x = 2.571428571

Simplifying
x = 2.571428571

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