7x-(5x+3)=7x-33

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Solution for 7x-(5x+3)=7x-33 equation:


Simplifying
7x + -1(5x + 3) = 7x + -33

Reorder the terms:
7x + -1(3 + 5x) = 7x + -33
7x + (3 * -1 + 5x * -1) = 7x + -33
7x + (-3 + -5x) = 7x + -33

Reorder the terms:
-3 + 7x + -5x = 7x + -33

Combine like terms: 7x + -5x = 2x
-3 + 2x = 7x + -33

Reorder the terms:
-3 + 2x = -33 + 7x

Solving
-3 + 2x = -33 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-3 + 2x + -7x = -33 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-3 + -5x = -33 + 7x + -7x

Combine like terms: 7x + -7x = 0
-3 + -5x = -33 + 0
-3 + -5x = -33

Add '3' to each side of the equation.
-3 + 3 + -5x = -33 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = -33 + 3
-5x = -33 + 3

Combine like terms: -33 + 3 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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