-3x-(x-3)=-33-4(5-x)

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Solution for -3x-(x-3)=-33-4(5-x) equation:


Simplifying
-3x + -1(x + -3) = -33 + -4(5 + -1x)

Reorder the terms:
-3x + -1(-3 + x) = -33 + -4(5 + -1x)
-3x + (-3 * -1 + x * -1) = -33 + -4(5 + -1x)
-3x + (3 + -1x) = -33 + -4(5 + -1x)

Reorder the terms:
3 + -3x + -1x = -33 + -4(5 + -1x)

Combine like terms: -3x + -1x = -4x
3 + -4x = -33 + -4(5 + -1x)
3 + -4x = -33 + (5 * -4 + -1x * -4)
3 + -4x = -33 + (-20 + 4x)

Combine like terms: -33 + -20 = -53
3 + -4x = -53 + 4x

Solving
3 + -4x = -53 + 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.
3 + -4x + -4x = -53 + 4x + -4x

Combine like terms: -4x + -4x = -8x
3 + -8x = -53 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -8x = -53 + 0
3 + -8x = -53

Add '-3' to each side of the equation.
3 + -3 + -8x = -53 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = -53 + -3
-8x = -53 + -3

Combine like terms: -53 + -3 = -56
-8x = -56

Divide each side by '-8'.
x = 7

Simplifying
x = 7

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