4x+15=10x-33

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Solution for 4x+15=10x-33 equation:


Simplifying
4x + 15 = 10x + -33

Reorder the terms:
15 + 4x = 10x + -33

Reorder the terms:
15 + 4x = -33 + 10x

Solving
15 + 4x = -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 + 4x + -10x = -33 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
15 + -6x = -33 + 0
15 + -6x = -33

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

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

Combine like terms: -33 + -15 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8

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