35(x-1)+126x+3(x+2)=1461

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Solution for 35(x-1)+126x+3(x+2)=1461 equation:


Simplifying
35(x + -1) + 126x + 3(x + 2) = 1461

Reorder the terms:
35(-1 + x) + 126x + 3(x + 2) = 1461
(-1 * 35 + x * 35) + 126x + 3(x + 2) = 1461
(-35 + 35x) + 126x + 3(x + 2) = 1461

Reorder the terms:
-35 + 35x + 126x + 3(2 + x) = 1461
-35 + 35x + 126x + (2 * 3 + x * 3) = 1461
-35 + 35x + 126x + (6 + 3x) = 1461

Reorder the terms:
-35 + 6 + 35x + 126x + 3x = 1461

Combine like terms: -35 + 6 = -29
-29 + 35x + 126x + 3x = 1461

Combine like terms: 35x + 126x = 161x
-29 + 161x + 3x = 1461

Combine like terms: 161x + 3x = 164x
-29 + 164x = 1461

Solving
-29 + 164x = 1461

Solving for variable 'x'.

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

Add '29' to each side of the equation.
-29 + 29 + 164x = 1461 + 29

Combine like terms: -29 + 29 = 0
0 + 164x = 1461 + 29
164x = 1461 + 29

Combine like terms: 1461 + 29 = 1490
164x = 1490

Divide each side by '164'.
x = 9.085365854

Simplifying
x = 9.085365854

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