3(x-3)-(4-5x)=11-6(4-3x)-4x

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Solution for 3(x-3)-(4-5x)=11-6(4-3x)-4x equation:


Simplifying
3(x + -3) + -1(4 + -5x) = 11 + -6(4 + -3x) + -4x

Reorder the terms:
3(-3 + x) + -1(4 + -5x) = 11 + -6(4 + -3x) + -4x
(-3 * 3 + x * 3) + -1(4 + -5x) = 11 + -6(4 + -3x) + -4x
(-9 + 3x) + -1(4 + -5x) = 11 + -6(4 + -3x) + -4x
-9 + 3x + (4 * -1 + -5x * -1) = 11 + -6(4 + -3x) + -4x
-9 + 3x + (-4 + 5x) = 11 + -6(4 + -3x) + -4x

Reorder the terms:
-9 + -4 + 3x + 5x = 11 + -6(4 + -3x) + -4x

Combine like terms: -9 + -4 = -13
-13 + 3x + 5x = 11 + -6(4 + -3x) + -4x

Combine like terms: 3x + 5x = 8x
-13 + 8x = 11 + -6(4 + -3x) + -4x
-13 + 8x = 11 + (4 * -6 + -3x * -6) + -4x
-13 + 8x = 11 + (-24 + 18x) + -4x

Combine like terms: 11 + -24 = -13
-13 + 8x = -13 + 18x + -4x

Combine like terms: 18x + -4x = 14x
-13 + 8x = -13 + 14x

Add '13' to each side of the equation.
-13 + 13 + 8x = -13 + 13 + 14x

Combine like terms: -13 + 13 = 0
0 + 8x = -13 + 13 + 14x
8x = -13 + 13 + 14x

Combine like terms: -13 + 13 = 0
8x = 0 + 14x
8x = 14x

Solving
8x = 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
8x + -14x = 14x + -14x

Combine like terms: 8x + -14x = -6x
-6x = 14x + -14x

Combine like terms: 14x + -14x = 0
-6x = 0

Divide each side by '-6'.
x = 0

Simplifying
x = 0

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