7(x-1)+8=5(7x)+2

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Solution for 7(x-1)+8=5(7x)+2 equation:


Simplifying
7(x + -1) + 8 = 5(7x) + 2

Reorder the terms:
7(-1 + x) + 8 = 5(7x) + 2
(-1 * 7 + x * 7) + 8 = 5(7x) + 2
(-7 + 7x) + 8 = 5(7x) + 2

Reorder the terms:
-7 + 8 + 7x = 5(7x) + 2

Combine like terms: -7 + 8 = 1
1 + 7x = 5(7x) + 2

Remove parenthesis around (7x)
1 + 7x = 5 * 7x + 2

Multiply 5 * 7
1 + 7x = 35x + 2

Reorder the terms:
1 + 7x = 2 + 35x

Solving
1 + 7x = 2 + 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.
1 + 7x + -35x = 2 + 35x + -35x

Combine like terms: 7x + -35x = -28x
1 + -28x = 2 + 35x + -35x

Combine like terms: 35x + -35x = 0
1 + -28x = 2 + 0
1 + -28x = 2

Add '-1' to each side of the equation.
1 + -1 + -28x = 2 + -1

Combine like terms: 1 + -1 = 0
0 + -28x = 2 + -1
-28x = 2 + -1

Combine like terms: 2 + -1 = 1
-28x = 1

Divide each side by '-28'.
x = -0.03571428571

Simplifying
x = -0.03571428571

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