2(50-x)=7(x-41)

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Solution for 2(50-x)=7(x-41) equation:


Simplifying
2(50 + -1x) = 7(x + -41)
(50 * 2 + -1x * 2) = 7(x + -41)
(100 + -2x) = 7(x + -41)

Reorder the terms:
100 + -2x = 7(-41 + x)
100 + -2x = (-41 * 7 + x * 7)
100 + -2x = (-287 + 7x)

Solving
100 + -2x = -287 + 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.
100 + -2x + -7x = -287 + 7x + -7x

Combine like terms: -2x + -7x = -9x
100 + -9x = -287 + 7x + -7x

Combine like terms: 7x + -7x = 0
100 + -9x = -287 + 0
100 + -9x = -287

Add '-100' to each side of the equation.
100 + -100 + -9x = -287 + -100

Combine like terms: 100 + -100 = 0
0 + -9x = -287 + -100
-9x = -287 + -100

Combine like terms: -287 + -100 = -387
-9x = -387

Divide each side by '-9'.
x = 43

Simplifying
x = 43

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