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 = -11
-4 + 4x = -11 + 5x + 3x

Combine like terms: 5x + 3x = 8x
-4 + 4x = -11 + 8x

Solving
-4 + 4x = -11 + 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 = -11 + 8x + -8x

Combine like terms: 4x + -8x = -4x
-4 + -4x = -11 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -4x = -11 + 0
-4 + -4x = -11

Add '4' to each side of the equation.
-4 + 4 + -4x = -11 + 4

Combine like terms: -4 + 4 = 0
0 + -4x = -11 + 4
-4x = -11 + 4

Combine like terms: -11 + 4 = -7
-4x = -7

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

Simplifying
x = 1.75

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