5x-(6-x)=4(1-x)

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Solution for 5x-(6-x)=4(1-x) equation:


Simplifying
5x + -1(6 + -1x) = 4(1 + -1x)
5x + (6 * -1 + -1x * -1) = 4(1 + -1x)
5x + (-6 + 1x) = 4(1 + -1x)

Reorder the terms:
-6 + 5x + 1x = 4(1 + -1x)

Combine like terms: 5x + 1x = 6x
-6 + 6x = 4(1 + -1x)
-6 + 6x = (1 * 4 + -1x * 4)
-6 + 6x = (4 + -4x)

Solving
-6 + 6x = 4 + -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.
-6 + 6x + 4x = 4 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
-6 + 10x = 4 + 0
-6 + 10x = 4

Add '6' to each side of the equation.
-6 + 6 + 10x = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 4 + 6
10x = 4 + 6

Combine like terms: 4 + 6 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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