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

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


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

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

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

Reorder the terms:
-6 + -4 + 3x + 4x = x + -4

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

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

Reorder the terms:
-10 + 7x = -4 + x

Solving
-10 + 7x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + 7x + -1x = -4 + x + -1x

Combine like terms: 7x + -1x = 6x
-10 + 6x = -4 + x + -1x

Combine like terms: x + -1x = 0
-10 + 6x = -4 + 0
-10 + 6x = -4

Add '10' to each side of the equation.
-10 + 10 + 6x = -4 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = -4 + 10
6x = -4 + 10

Combine like terms: -4 + 10 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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