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

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


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

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

Combine like terms: 1 + -3 = -2
-2 + 3x = 5 + -4(x + -4)

Reorder the terms:
-2 + 3x = 5 + -4(-4 + x)
-2 + 3x = 5 + (-4 * -4 + x * -4)
-2 + 3x = 5 + (16 + -4x)

Combine like terms: 5 + 16 = 21
-2 + 3x = 21 + -4x

Solving
-2 + 3x = 21 + -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.
-2 + 3x + 4x = 21 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-2 + 7x = 21 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 7x = 21 + 0
-2 + 7x = 21

Add '2' to each side of the equation.
-2 + 2 + 7x = 21 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 21 + 2
7x = 21 + 2

Combine like terms: 21 + 2 = 23
7x = 23

Divide each side by '7'.
x = 3.285714286

Simplifying
x = 3.285714286

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