129(1-x)+3(8-x)=7(89+x)

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Solution for 129(1-x)+3(8-x)=7(89+x) equation:


Simplifying
129(1 + -1x) + 3(8 + -1x) = 7(89 + x)
(1 * 129 + -1x * 129) + 3(8 + -1x) = 7(89 + x)
(129 + -129x) + 3(8 + -1x) = 7(89 + x)
129 + -129x + (8 * 3 + -1x * 3) = 7(89 + x)
129 + -129x + (24 + -3x) = 7(89 + x)

Reorder the terms:
129 + 24 + -129x + -3x = 7(89 + x)

Combine like terms: 129 + 24 = 153
153 + -129x + -3x = 7(89 + x)

Combine like terms: -129x + -3x = -132x
153 + -132x = 7(89 + x)
153 + -132x = (89 * 7 + x * 7)
153 + -132x = (623 + 7x)

Solving
153 + -132x = 623 + 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.
153 + -132x + -7x = 623 + 7x + -7x

Combine like terms: -132x + -7x = -139x
153 + -139x = 623 + 7x + -7x

Combine like terms: 7x + -7x = 0
153 + -139x = 623 + 0
153 + -139x = 623

Add '-153' to each side of the equation.
153 + -153 + -139x = 623 + -153

Combine like terms: 153 + -153 = 0
0 + -139x = 623 + -153
-139x = 623 + -153

Combine like terms: 623 + -153 = 470
-139x = 470

Divide each side by '-139'.
x = -3.381294964

Simplifying
x = -3.381294964

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