x+24+6x-15=10x-6

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Solution for x+24+6x-15=10x-6 equation:


Simplifying
x + 24 + 6x + -15 = 10x + -6

Reorder the terms:
24 + -15 + x + 6x = 10x + -6

Combine like terms: 24 + -15 = 9
9 + x + 6x = 10x + -6

Combine like terms: x + 6x = 7x
9 + 7x = 10x + -6

Reorder the terms:
9 + 7x = -6 + 10x

Solving
9 + 7x = -6 + 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.
9 + 7x + -10x = -6 + 10x + -10x

Combine like terms: 7x + -10x = -3x
9 + -3x = -6 + 10x + -10x

Combine like terms: 10x + -10x = 0
9 + -3x = -6 + 0
9 + -3x = -6

Add '-9' to each side of the equation.
9 + -9 + -3x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = -6 + -9
-3x = -6 + -9

Combine like terms: -6 + -9 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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