2x-4(4-3x)=5(x-3)-46

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Solution for 2x-4(4-3x)=5(x-3)-46 equation:


Simplifying
2x + -4(4 + -3x) = 5(x + -3) + -46
2x + (4 * -4 + -3x * -4) = 5(x + -3) + -46
2x + (-16 + 12x) = 5(x + -3) + -46

Reorder the terms:
-16 + 2x + 12x = 5(x + -3) + -46

Combine like terms: 2x + 12x = 14x
-16 + 14x = 5(x + -3) + -46

Reorder the terms:
-16 + 14x = 5(-3 + x) + -46
-16 + 14x = (-3 * 5 + x * 5) + -46
-16 + 14x = (-15 + 5x) + -46

Reorder the terms:
-16 + 14x = -15 + -46 + 5x

Combine like terms: -15 + -46 = -61
-16 + 14x = -61 + 5x

Solving
-16 + 14x = -61 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-16 + 14x + -5x = -61 + 5x + -5x

Combine like terms: 14x + -5x = 9x
-16 + 9x = -61 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + 9x = -61 + 0
-16 + 9x = -61

Add '16' to each side of the equation.
-16 + 16 + 9x = -61 + 16

Combine like terms: -16 + 16 = 0
0 + 9x = -61 + 16
9x = -61 + 16

Combine like terms: -61 + 16 = -45
9x = -45

Divide each side by '9'.
x = -5

Simplifying
x = -5

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