32(x-1)+114x+5(x+3)=1607

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Solution for 32(x-1)+114x+5(x+3)=1607 equation:


Simplifying
32(x + -1) + 114x + 5(x + 3) = 1607

Reorder the terms:
32(-1 + x) + 114x + 5(x + 3) = 1607
(-1 * 32 + x * 32) + 114x + 5(x + 3) = 1607
(-32 + 32x) + 114x + 5(x + 3) = 1607

Reorder the terms:
-32 + 32x + 114x + 5(3 + x) = 1607
-32 + 32x + 114x + (3 * 5 + x * 5) = 1607
-32 + 32x + 114x + (15 + 5x) = 1607

Reorder the terms:
-32 + 15 + 32x + 114x + 5x = 1607

Combine like terms: -32 + 15 = -17
-17 + 32x + 114x + 5x = 1607

Combine like terms: 32x + 114x = 146x
-17 + 146x + 5x = 1607

Combine like terms: 146x + 5x = 151x
-17 + 151x = 1607

Solving
-17 + 151x = 1607

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 151x = 1607 + 17

Combine like terms: -17 + 17 = 0
0 + 151x = 1607 + 17
151x = 1607 + 17

Combine like terms: 1607 + 17 = 1624
151x = 1624

Divide each side by '151'.
x = 10.75496689

Simplifying
x = 10.75496689

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