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

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


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

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

Reorder the terms:
4 + 4 + -3 + -3x = 5x + -2(x + -5) + -4

Combine like terms: 4 + 4 = 8
8 + -3 + -3x = 5x + -2(x + -5) + -4

Combine like terms: 8 + -3 = 5
5 + -3x = 5x + -2(x + -5) + -4

Reorder the terms:
5 + -3x = 5x + -2(-5 + x) + -4
5 + -3x = 5x + (-5 * -2 + x * -2) + -4
5 + -3x = 5x + (10 + -2x) + -4

Reorder the terms:
5 + -3x = 10 + -4 + 5x + -2x

Combine like terms: 10 + -4 = 6
5 + -3x = 6 + 5x + -2x

Combine like terms: 5x + -2x = 3x
5 + -3x = 6 + 3x

Solving
5 + -3x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
5 + -3x + -3x = 6 + 3x + -3x

Combine like terms: -3x + -3x = -6x
5 + -6x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -6x = 6 + 0
5 + -6x = 6

Add '-5' to each side of the equation.
5 + -5 + -6x = 6 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 6 + -5
-6x = 6 + -5

Combine like terms: 6 + -5 = 1
-6x = 1

Divide each side by '-6'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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