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

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


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

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

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

Solving
-10 + 2x = 7 + 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.
-10 + 2x + -7x = 7 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-10 + -5x = 7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -5x = 7 + 0
-10 + -5x = 7

Add '10' to each side of the equation.
-10 + 10 + -5x = 7 + 10

Combine like terms: -10 + 10 = 0
0 + -5x = 7 + 10
-5x = 7 + 10

Combine like terms: 7 + 10 = 17
-5x = 17

Divide each side by '-5'.
x = -3.4

Simplifying
x = -3.4

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