32(x-1)+117x+10(x+3)=1946

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Solution for 32(x-1)+117x+10(x+3)=1946 equation:


Simplifying
32(x + -1) + 117x + 10(x + 3) = 1946

Reorder the terms:
32(-1 + x) + 117x + 10(x + 3) = 1946
(-1 * 32 + x * 32) + 117x + 10(x + 3) = 1946
(-32 + 32x) + 117x + 10(x + 3) = 1946

Reorder the terms:
-32 + 32x + 117x + 10(3 + x) = 1946
-32 + 32x + 117x + (3 * 10 + x * 10) = 1946
-32 + 32x + 117x + (30 + 10x) = 1946

Reorder the terms:
-32 + 30 + 32x + 117x + 10x = 1946

Combine like terms: -32 + 30 = -2
-2 + 32x + 117x + 10x = 1946

Combine like terms: 32x + 117x = 149x
-2 + 149x + 10x = 1946

Combine like terms: 149x + 10x = 159x
-2 + 159x = 1946

Solving
-2 + 159x = 1946

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 159x = 1946 + 2

Combine like terms: -2 + 2 = 0
0 + 159x = 1946 + 2
159x = 1946 + 2

Combine like terms: 1946 + 2 = 1948
159x = 1948

Divide each side by '159'.
x = 12.25157233

Simplifying
x = 12.25157233

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