5(x-10)=-7x+1

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Solution for 5(x-10)=-7x+1 equation:


Simplifying
5(x + -10) = -7x + 1

Reorder the terms:
5(-10 + x) = -7x + 1
(-10 * 5 + x * 5) = -7x + 1
(-50 + 5x) = -7x + 1

Reorder the terms:
-50 + 5x = 1 + -7x

Solving
-50 + 5x = 1 + -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.
-50 + 5x + 7x = 1 + -7x + 7x

Combine like terms: 5x + 7x = 12x
-50 + 12x = 1 + -7x + 7x

Combine like terms: -7x + 7x = 0
-50 + 12x = 1 + 0
-50 + 12x = 1

Add '50' to each side of the equation.
-50 + 50 + 12x = 1 + 50

Combine like terms: -50 + 50 = 0
0 + 12x = 1 + 50
12x = 1 + 50

Combine like terms: 1 + 50 = 51
12x = 51

Divide each side by '12'.
x = 4.25

Simplifying
x = 4.25

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