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

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


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

Reorder the terms:
-9 + 10x = 4(x + -1) + 1

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

Reorder the terms:
-9 + 10x = -4 + 1 + 4x

Combine like terms: -4 + 1 = -3
-9 + 10x = -3 + 4x

Solving
-9 + 10x = -3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-9 + 10x + -4x = -3 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-9 + 6x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + 6x = -3 + 0
-9 + 6x = -3

Add '9' to each side of the equation.
-9 + 9 + 6x = -3 + 9

Combine like terms: -9 + 9 = 0
0 + 6x = -3 + 9
6x = -3 + 9

Combine like terms: -3 + 9 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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