35(x-1)=-7(5x)+28

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Solution for 35(x-1)=-7(5x)+28 equation:


Simplifying
35(x + -1) = -7(5x) + 28

Reorder the terms:
35(-1 + x) = -7(5x) + 28
(-1 * 35 + x * 35) = -7(5x) + 28
(-35 + 35x) = -7(5x) + 28

Remove parenthesis around (5x)
-35 + 35x = -7 * 5x + 28

Multiply -7 * 5
-35 + 35x = -35x + 28

Reorder the terms:
-35 + 35x = 28 + -35x

Solving
-35 + 35x = 28 + -35x

Solving for variable 'x'.

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

Add '35x' to each side of the equation.
-35 + 35x + 35x = 28 + -35x + 35x

Combine like terms: 35x + 35x = 70x
-35 + 70x = 28 + -35x + 35x

Combine like terms: -35x + 35x = 0
-35 + 70x = 28 + 0
-35 + 70x = 28

Add '35' to each side of the equation.
-35 + 35 + 70x = 28 + 35

Combine like terms: -35 + 35 = 0
0 + 70x = 28 + 35
70x = 28 + 35

Combine like terms: 28 + 35 = 63
70x = 63

Divide each side by '70'.
x = 0.9

Simplifying
x = 0.9

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