10x-(2x-9)=-3(15-4x)

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Solution for 10x-(2x-9)=-3(15-4x) equation:


Simplifying
10x + -1(2x + -9) = -3(15 + -4x)

Reorder the terms:
10x + -1(-9 + 2x) = -3(15 + -4x)
10x + (-9 * -1 + 2x * -1) = -3(15 + -4x)
10x + (9 + -2x) = -3(15 + -4x)

Reorder the terms:
9 + 10x + -2x = -3(15 + -4x)

Combine like terms: 10x + -2x = 8x
9 + 8x = -3(15 + -4x)
9 + 8x = (15 * -3 + -4x * -3)
9 + 8x = (-45 + 12x)

Solving
9 + 8x = -45 + 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 + 8x + -12x = -45 + 12x + -12x

Combine like terms: 8x + -12x = -4x
9 + -4x = -45 + 12x + -12x

Combine like terms: 12x + -12x = 0
9 + -4x = -45 + 0
9 + -4x = -45

Add '-9' to each side of the equation.
9 + -9 + -4x = -45 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = -45 + -9
-4x = -45 + -9

Combine like terms: -45 + -9 = -54
-4x = -54

Divide each side by '-4'.
x = 13.5

Simplifying
x = 13.5

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