7x-4=5(x-1)+35

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Solution for 7x-4=5(x-1)+35 equation:


Simplifying
7x + -4 = 5(x + -1) + 35

Reorder the terms:
-4 + 7x = 5(x + -1) + 35

Reorder the terms:
-4 + 7x = 5(-1 + x) + 35
-4 + 7x = (-1 * 5 + x * 5) + 35
-4 + 7x = (-5 + 5x) + 35

Reorder the terms:
-4 + 7x = -5 + 35 + 5x

Combine like terms: -5 + 35 = 30
-4 + 7x = 30 + 5x

Solving
-4 + 7x = 30 + 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.
-4 + 7x + -5x = 30 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-4 + 2x = 30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + 2x = 30 + 0
-4 + 2x = 30

Add '4' to each side of the equation.
-4 + 4 + 2x = 30 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = 30 + 4
2x = 30 + 4

Combine like terms: 30 + 4 = 34
2x = 34

Divide each side by '2'.
x = 17

Simplifying
x = 17

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