6(x-3)-4(x+2)=9x-(5x-3)

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Solution for 6(x-3)-4(x+2)=9x-(5x-3) equation:


Simplifying
6(x + -3) + -4(x + 2) = 9x + -1(5x + -3)

Reorder the terms:
6(-3 + x) + -4(x + 2) = 9x + -1(5x + -3)
(-3 * 6 + x * 6) + -4(x + 2) = 9x + -1(5x + -3)
(-18 + 6x) + -4(x + 2) = 9x + -1(5x + -3)

Reorder the terms:
-18 + 6x + -4(2 + x) = 9x + -1(5x + -3)
-18 + 6x + (2 * -4 + x * -4) = 9x + -1(5x + -3)
-18 + 6x + (-8 + -4x) = 9x + -1(5x + -3)

Reorder the terms:
-18 + -8 + 6x + -4x = 9x + -1(5x + -3)

Combine like terms: -18 + -8 = -26
-26 + 6x + -4x = 9x + -1(5x + -3)

Combine like terms: 6x + -4x = 2x
-26 + 2x = 9x + -1(5x + -3)

Reorder the terms:
-26 + 2x = 9x + -1(-3 + 5x)
-26 + 2x = 9x + (-3 * -1 + 5x * -1)
-26 + 2x = 9x + (3 + -5x)

Reorder the terms:
-26 + 2x = 3 + 9x + -5x

Combine like terms: 9x + -5x = 4x
-26 + 2x = 3 + 4x

Solving
-26 + 2x = 3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-26 + 2x + -4x = 3 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-26 + -2x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-26 + -2x = 3 + 0
-26 + -2x = 3

Add '26' to each side of the equation.
-26 + 26 + -2x = 3 + 26

Combine like terms: -26 + 26 = 0
0 + -2x = 3 + 26
-2x = 3 + 26

Combine like terms: 3 + 26 = 29
-2x = 29

Divide each side by '-2'.
x = -14.5

Simplifying
x = -14.5

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