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

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


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

Reorder the terms:
4(-2 + x) = 5(x + -1) + 3x + 2
(-2 * 4 + x * 4) = 5(x + -1) + 3x + 2
(-8 + 4x) = 5(x + -1) + 3x + 2

Reorder the terms:
-8 + 4x = 5(-1 + x) + 3x + 2
-8 + 4x = (-1 * 5 + x * 5) + 3x + 2
-8 + 4x = (-5 + 5x) + 3x + 2

Reorder the terms:
-8 + 4x = -5 + 2 + 5x + 3x

Combine like terms: -5 + 2 = -3
-8 + 4x = -3 + 5x + 3x

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

Solving
-8 + 4x = -3 + 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.
-8 + 4x + -8x = -3 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
-8 + -4x = -3 + 0
-8 + -4x = -3

Add '8' to each side of the equation.
-8 + 8 + -4x = -3 + 8

Combine like terms: -8 + 8 = 0
0 + -4x = -3 + 8
-4x = -3 + 8

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

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

Simplifying
x = -1.25

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