10x-(2x-6)=8x+2.4x-9

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Solution for 10x-(2x-6)=8x+2.4x-9 equation:


Simplifying
10x + -1(2x + -6) = 8x + 2.4x + -9

Reorder the terms:
10x + -1(-6 + 2x) = 8x + 2.4x + -9
10x + (-6 * -1 + 2x * -1) = 8x + 2.4x + -9
10x + (6 + -2x) = 8x + 2.4x + -9

Reorder the terms:
6 + 10x + -2x = 8x + 2.4x + -9

Combine like terms: 10x + -2x = 8x
6 + 8x = 8x + 2.4x + -9

Reorder the terms:
6 + 8x = -9 + 8x + 2.4x

Combine like terms: 8x + 2.4x = 10.4x
6 + 8x = -9 + 10.4x

Solving
6 + 8x = -9 + 10.4x

Solving for variable 'x'.

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

Add '-10.4x' to each side of the equation.
6 + 8x + -10.4x = -9 + 10.4x + -10.4x

Combine like terms: 8x + -10.4x = -2.4x
6 + -2.4x = -9 + 10.4x + -10.4x

Combine like terms: 10.4x + -10.4x = 0.0
6 + -2.4x = -9 + 0.0
6 + -2.4x = -9

Add '-6' to each side of the equation.
6 + -6 + -2.4x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -2.4x = -9 + -6
-2.4x = -9 + -6

Combine like terms: -9 + -6 = -15
-2.4x = -15

Divide each side by '-2.4'.
x = 6.25

Simplifying
x = 6.25

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