32(x-1)+117x+10(x+2)=1394

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Solution for 32(x-1)+117x+10(x+2)=1394 equation:


Simplifying
32(x + -1) + 117x + 10(x + 2) = 1394

Reorder the terms:
32(-1 + x) + 117x + 10(x + 2) = 1394
(-1 * 32 + x * 32) + 117x + 10(x + 2) = 1394
(-32 + 32x) + 117x + 10(x + 2) = 1394

Reorder the terms:
-32 + 32x + 117x + 10(2 + x) = 1394
-32 + 32x + 117x + (2 * 10 + x * 10) = 1394
-32 + 32x + 117x + (20 + 10x) = 1394

Reorder the terms:
-32 + 20 + 32x + 117x + 10x = 1394

Combine like terms: -32 + 20 = -12
-12 + 32x + 117x + 10x = 1394

Combine like terms: 32x + 117x = 149x
-12 + 149x + 10x = 1394

Combine like terms: 149x + 10x = 159x
-12 + 159x = 1394

Solving
-12 + 159x = 1394

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 159x = 1394 + 12

Combine like terms: -12 + 12 = 0
0 + 159x = 1394 + 12
159x = 1394 + 12

Combine like terms: 1394 + 12 = 1406
159x = 1406

Divide each side by '159'.
x = 8.842767296

Simplifying
x = 8.842767296

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