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

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


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

Reorder the terms:
4 + -3(-2 + x) = 5(x + -1) + -2
4 + (-2 * -3 + x * -3) = 5(x + -1) + -2
4 + (6 + -3x) = 5(x + -1) + -2

Combine like terms: 4 + 6 = 10
10 + -3x = 5(x + -1) + -2

Reorder the terms:
10 + -3x = 5(-1 + x) + -2
10 + -3x = (-1 * 5 + x * 5) + -2
10 + -3x = (-5 + 5x) + -2

Reorder the terms:
10 + -3x = -5 + -2 + 5x

Combine like terms: -5 + -2 = -7
10 + -3x = -7 + 5x

Solving
10 + -3x = -7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + -3x + -5x = -7 + 5x + -5x

Combine like terms: -3x + -5x = -8x
10 + -8x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -8x = -7 + 0
10 + -8x = -7

Add '-10' to each side of the equation.
10 + -10 + -8x = -7 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = -7 + -10
-8x = -7 + -10

Combine like terms: -7 + -10 = -17
-8x = -17

Divide each side by '-8'.
x = 2.125

Simplifying
x = 2.125

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