5-(x-4)=5+3(x-1)

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Solution for 5-(x-4)=5+3(x-1) equation:


Simplifying
5 + -1(x + -4) = 5 + 3(x + -1)

Reorder the terms:
5 + -1(-4 + x) = 5 + 3(x + -1)
5 + (-4 * -1 + x * -1) = 5 + 3(x + -1)
5 + (4 + -1x) = 5 + 3(x + -1)

Combine like terms: 5 + 4 = 9
9 + -1x = 5 + 3(x + -1)

Reorder the terms:
9 + -1x = 5 + 3(-1 + x)
9 + -1x = 5 + (-1 * 3 + x * 3)
9 + -1x = 5 + (-3 + 3x)

Combine like terms: 5 + -3 = 2
9 + -1x = 2 + 3x

Solving
9 + -1x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + -1x + -3x = 2 + 3x + -3x

Combine like terms: -1x + -3x = -4x
9 + -4x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -4x = 2 + 0
9 + -4x = 2

Add '-9' to each side of the equation.
9 + -9 + -4x = 2 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 2 + -9
-4x = 2 + -9

Combine like terms: 2 + -9 = -7
-4x = -7

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

Simplifying
x = 1.75

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