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

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


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

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

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

Reorder the terms:
10 + -3x = 4(-1 + x) + -5
10 + -3x = (-1 * 4 + x * 4) + -5
10 + -3x = (-4 + 4x) + -5

Reorder the terms:
10 + -3x = -4 + -5 + 4x

Combine like terms: -4 + -5 = -9
10 + -3x = -9 + 4x

Solving
10 + -3x = -9 + 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.
10 + -3x + -4x = -9 + 4x + -4x

Combine like terms: -3x + -4x = -7x
10 + -7x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -7x = -9 + 0
10 + -7x = -9

Add '-10' to each side of the equation.
10 + -10 + -7x = -9 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = -9 + -10
-7x = -9 + -10

Combine like terms: -9 + -10 = -19
-7x = -19

Divide each side by '-7'.
x = 2.714285714

Simplifying
x = 2.714285714

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