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

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


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

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

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

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

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

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

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

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

Add '-10' to each side of the equation.
10 + -10 + -7x = -4 + -10

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

Combine like terms: -4 + -10 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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