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

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


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

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

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

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

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

Solving
-1 + 3x = -4 + 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.
-1 + 3x + -4x = -4 + 4x + -4x

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

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

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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