4(x-1)=5(x-1)+3(x+2)

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Solution for 4(x-1)=5(x-1)+3(x+2) equation:


Simplifying
4(x + -1) = 5(x + -1) + 3(x + 2)

Reorder the terms:
4(-1 + x) = 5(x + -1) + 3(x + 2)
(-1 * 4 + x * 4) = 5(x + -1) + 3(x + 2)
(-4 + 4x) = 5(x + -1) + 3(x + 2)

Reorder the terms:
-4 + 4x = 5(-1 + x) + 3(x + 2)
-4 + 4x = (-1 * 5 + x * 5) + 3(x + 2)
-4 + 4x = (-5 + 5x) + 3(x + 2)

Reorder the terms:
-4 + 4x = -5 + 5x + 3(2 + x)
-4 + 4x = -5 + 5x + (2 * 3 + x * 3)
-4 + 4x = -5 + 5x + (6 + 3x)

Reorder the terms:
-4 + 4x = -5 + 6 + 5x + 3x

Combine like terms: -5 + 6 = 1
-4 + 4x = 1 + 5x + 3x

Combine like terms: 5x + 3x = 8x
-4 + 4x = 1 + 8x

Solving
-4 + 4x = 1 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-4 + 4x + -8x = 1 + 8x + -8x

Combine like terms: 4x + -8x = -4x
-4 + -4x = 1 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -4x = 1 + 0
-4 + -4x = 1

Add '4' to each side of the equation.
-4 + 4 + -4x = 1 + 4

Combine like terms: -4 + 4 = 0
0 + -4x = 1 + 4
-4x = 1 + 4

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

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

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