3(22-x)=7(x+41)

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Solution for 3(22-x)=7(x+41) equation:


Simplifying
3(22 + -1x) = 7(x + 41)
(22 * 3 + -1x * 3) = 7(x + 41)
(66 + -3x) = 7(x + 41)

Reorder the terms:
66 + -3x = 7(41 + x)
66 + -3x = (41 * 7 + x * 7)
66 + -3x = (287 + 7x)

Solving
66 + -3x = 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.
66 + -3x + -7x = 287 + 7x + -7x

Combine like terms: -3x + -7x = -10x
66 + -10x = 287 + 7x + -7x

Combine like terms: 7x + -7x = 0
66 + -10x = 287 + 0
66 + -10x = 287

Add '-66' to each side of the equation.
66 + -66 + -10x = 287 + -66

Combine like terms: 66 + -66 = 0
0 + -10x = 287 + -66
-10x = 287 + -66

Combine like terms: 287 + -66 = 221
-10x = 221

Divide each side by '-10'.
x = -22.1

Simplifying
x = -22.1

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