9x-10=4(x-1)-5x+4

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Solution for 9x-10=4(x-1)-5x+4 equation:


Simplifying
9x + -10 = 4(x + -1) + -5x + 4

Reorder the terms:
-10 + 9x = 4(x + -1) + -5x + 4

Reorder the terms:
-10 + 9x = 4(-1 + x) + -5x + 4
-10 + 9x = (-1 * 4 + x * 4) + -5x + 4
-10 + 9x = (-4 + 4x) + -5x + 4

Reorder the terms:
-10 + 9x = -4 + 4 + 4x + -5x

Combine like terms: -4 + 4 = 0
-10 + 9x = 0 + 4x + -5x
-10 + 9x = 4x + -5x

Combine like terms: 4x + -5x = -1x
-10 + 9x = -1x

Solving
-10 + 9x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-10 + 9x + x = -1x + x

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

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

Add '10' to each side of the equation.
-10 + 10 + 10x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 10x = 0 + 10
10x = 0 + 10

Combine like terms: 0 + 10 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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