3x-5(x-2)=-3+4x-35

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Solution for 3x-5(x-2)=-3+4x-35 equation: 


Simplifying
3x + -5(x + -2) = -3 + 4x + -35

Reorder the terms:
3x + -5(-2 + x) = -3 + 4x + -35
3x + (-2 * -5 + x * -5) = -3 + 4x + -35
3x + (10 + -5x) = -3 + 4x + -35

Reorder the terms:
10 + 3x + -5x = -3 + 4x + -35

Combine like terms: 3x + -5x = -2x
10 + -2x = -3 + 4x + -35

Reorder the terms:
10 + -2x = -3 + -35 + 4x

Combine like terms: -3 + -35 = -38
10 + -2x = -38 + 4x

Solving
10 + -2x = -38 + 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.
10 + -2x + -4x = -38 + 4x + -4x

Combine like terms: -2x + -4x = -6x
10 + -6x = -38 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -6x = -38 + 0
10 + -6x = -38

Add '-10' to each side of the equation.
10 + -10 + -6x = -38 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -38 + -10
-6x = -38 + -10

Combine like terms: -38 + -10 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8

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