2x-9=3(4x-10)

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Solution for 2x-9=3(4x-10) equation:


Simplifying
2x + -9 = 3(4x + -10)

Reorder the terms:
-9 + 2x = 3(4x + -10)

Reorder the terms:
-9 + 2x = 3(-10 + 4x)
-9 + 2x = (-10 * 3 + 4x * 3)
-9 + 2x = (-30 + 12x)

Solving
-9 + 2x = -30 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-9 + 2x + -12x = -30 + 12x + -12x

Combine like terms: 2x + -12x = -10x
-9 + -10x = -30 + 12x + -12x

Combine like terms: 12x + -12x = 0
-9 + -10x = -30 + 0
-9 + -10x = -30

Add '9' to each side of the equation.
-9 + 9 + -10x = -30 + 9

Combine like terms: -9 + 9 = 0
0 + -10x = -30 + 9
-10x = -30 + 9

Combine like terms: -30 + 9 = -21
-10x = -21

Divide each side by '-10'.
x = 2.1

Simplifying
x = 2.1

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