7(x-4)-5=5x+5

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Solution for 7(x-4)-5=5x+5 equation:


Simplifying
7(x + -4) + -5 = 5x + 5

Reorder the terms:
7(-4 + x) + -5 = 5x + 5
(-4 * 7 + x * 7) + -5 = 5x + 5
(-28 + 7x) + -5 = 5x + 5

Reorder the terms:
-28 + -5 + 7x = 5x + 5

Combine like terms: -28 + -5 = -33
-33 + 7x = 5x + 5

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

Solving
-33 + 7x = 5 + 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.
-33 + 7x + -5x = 5 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-33 + 2x = 5 + 0
-33 + 2x = 5

Add '33' to each side of the equation.
-33 + 33 + 2x = 5 + 33

Combine like terms: -33 + 33 = 0
0 + 2x = 5 + 33
2x = 5 + 33

Combine like terms: 5 + 33 = 38
2x = 38

Divide each side by '2'.
x = 19

Simplifying
x = 19

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