20(-13x+8)=33(x-4)

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Solution for 20(-13x+8)=33(x-4) equation: 


Simplifying
20(-13x + 8) = 33(x + -4)

Reorder the terms:
20(8 + -13x) = 33(x + -4)
(8 * 20 + -13x * 20) = 33(x + -4)
(160 + -260x) = 33(x + -4)

Reorder the terms:
160 + -260x = 33(-4 + x)
160 + -260x = (-4 * 33 + x * 33)
160 + -260x = (-132 + 33x)

Solving
160 + -260x = -132 + 33x

Solving for variable 'x'.

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

Add '-33x' to each side of the equation.
160 + -260x + -33x = -132 + 33x + -33x

Combine like terms: -260x + -33x = -293x
160 + -293x = -132 + 33x + -33x

Combine like terms: 33x + -33x = 0
160 + -293x = -132 + 0
160 + -293x = -132

Add '-160' to each side of the equation.
160 + -160 + -293x = -132 + -160

Combine like terms: 160 + -160 = 0
0 + -293x = -132 + -160
-293x = -132 + -160

Combine like terms: -132 + -160 = -292
-293x = -292

Divide each side by '-293'.
x = 0.9965870307

Simplifying
x = 0.9965870307

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