4(2x+9)-(x-1)=10x+1

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Solution for 4(2x+9)-(x-1)=10x+1 equation:


Simplifying
4(2x + 9) + -1(x + -1) = 10x + 1

Reorder the terms:
4(9 + 2x) + -1(x + -1) = 10x + 1
(9 * 4 + 2x * 4) + -1(x + -1) = 10x + 1
(36 + 8x) + -1(x + -1) = 10x + 1

Reorder the terms:
36 + 8x + -1(-1 + x) = 10x + 1
36 + 8x + (-1 * -1 + x * -1) = 10x + 1
36 + 8x + (1 + -1x) = 10x + 1

Reorder the terms:
36 + 1 + 8x + -1x = 10x + 1

Combine like terms: 36 + 1 = 37
37 + 8x + -1x = 10x + 1

Combine like terms: 8x + -1x = 7x
37 + 7x = 10x + 1

Reorder the terms:
37 + 7x = 1 + 10x

Solving
37 + 7x = 1 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
37 + 7x + -10x = 1 + 10x + -10x

Combine like terms: 7x + -10x = -3x
37 + -3x = 1 + 10x + -10x

Combine like terms: 10x + -10x = 0
37 + -3x = 1 + 0
37 + -3x = 1

Add '-37' to each side of the equation.
37 + -37 + -3x = 1 + -37

Combine like terms: 37 + -37 = 0
0 + -3x = 1 + -37
-3x = 1 + -37

Combine like terms: 1 + -37 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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