4x-(5x+3)=5x-45

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Solution for 4x-(5x+3)=5x-45 equation:


Simplifying
4x + -1(5x + 3) = 5x + -45

Reorder the terms:
4x + -1(3 + 5x) = 5x + -45
4x + (3 * -1 + 5x * -1) = 5x + -45
4x + (-3 + -5x) = 5x + -45

Reorder the terms:
-3 + 4x + -5x = 5x + -45

Combine like terms: 4x + -5x = -1x
-3 + -1x = 5x + -45

Reorder the terms:
-3 + -1x = -45 + 5x

Solving
-3 + -1x = -45 + 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.
-3 + -1x + -5x = -45 + 5x + -5x

Combine like terms: -1x + -5x = -6x
-3 + -6x = -45 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + -6x = -45 + 0
-3 + -6x = -45

Add '3' to each side of the equation.
-3 + 3 + -6x = -45 + 3

Combine like terms: -3 + 3 = 0
0 + -6x = -45 + 3
-6x = -45 + 3

Combine like terms: -45 + 3 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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