4(2x-3)+6x=9x-10

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Solution for 4(2x-3)+6x=9x-10 equation:


Simplifying
4(2x + -3) + 6x = 9x + -10

Reorder the terms:
4(-3 + 2x) + 6x = 9x + -10
(-3 * 4 + 2x * 4) + 6x = 9x + -10
(-12 + 8x) + 6x = 9x + -10

Combine like terms: 8x + 6x = 14x
-12 + 14x = 9x + -10

Reorder the terms:
-12 + 14x = -10 + 9x

Solving
-12 + 14x = -10 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-12 + 14x + -9x = -10 + 9x + -9x

Combine like terms: 14x + -9x = 5x
-12 + 5x = -10 + 9x + -9x

Combine like terms: 9x + -9x = 0
-12 + 5x = -10 + 0
-12 + 5x = -10

Add '12' to each side of the equation.
-12 + 12 + 5x = -10 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = -10 + 12
5x = -10 + 12

Combine like terms: -10 + 12 = 2
5x = 2

Divide each side by '5'.
x = 0.4

Simplifying
x = 0.4

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