7x+1=5(2x-10)

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Solution for 7x+1=5(2x-10) equation: 


Simplifying
7x + 1 = 5(2x + -10)

Reorder the terms:
1 + 7x = 5(2x + -10)

Reorder the terms:
1 + 7x = 5(-10 + 2x)
1 + 7x = (-10 * 5 + 2x * 5)
1 + 7x = (-50 + 10x)

Solving
1 + 7x = -50 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
1 + 7x + -10x = -50 + 10x + -10x

Combine like terms: 7x + -10x = -3x
1 + -3x = -50 + 10x + -10x

Combine like terms: 10x + -10x = 0
1 + -3x = -50 + 0
1 + -3x = -50

Add '-1' to each side of the equation.
1 + -1 + -3x = -50 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = -50 + -1
-3x = -50 + -1

Combine like terms: -50 + -1 = -51
-3x = -51

Divide each side by '-3'.
x = 17

Simplifying
x = 17

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