x-(x-3)=4(x-1)

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Solution for x-(x-3)=4(x-1) equation:


Simplifying
x + -1(x + -3) = 4(x + -1)

Reorder the terms:
x + -1(-3 + x) = 4(x + -1)
x + (-3 * -1 + x * -1) = 4(x + -1)
x + (3 + -1x) = 4(x + -1)

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

Combine like terms: x + -1x = 0
3 + 0 = 4(x + -1)
3 = 4(x + -1)

Reorder the terms:
3 = 4(-1 + x)
3 = (-1 * 4 + x * 4)
3 = (-4 + 4x)

Solving
3 = -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.
3 + -4x = -4 + 4x + -4x

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

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

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

Combine like terms: -4 + -3 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75

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