2(x-1)+4x=3(x-1)+7

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Solution for 2(x-1)+4x=3(x-1)+7 equation: 


Simplifying
2(x + -1) + 4x = 3(x + -1) + 7

Reorder the terms:
2(-1 + x) + 4x = 3(x + -1) + 7
(-1 * 2 + x * 2) + 4x = 3(x + -1) + 7
(-2 + 2x) + 4x = 3(x + -1) + 7

Combine like terms: 2x + 4x = 6x
-2 + 6x = 3(x + -1) + 7

Reorder the terms:
-2 + 6x = 3(-1 + x) + 7
-2 + 6x = (-1 * 3 + x * 3) + 7
-2 + 6x = (-3 + 3x) + 7

Reorder the terms:
-2 + 6x = -3 + 7 + 3x

Combine like terms: -3 + 7 = 4
-2 + 6x = 4 + 3x

Solving
-2 + 6x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + 6x + -3x = 4 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-2 + 3x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 3x = 4 + 0
-2 + 3x = 4

Add '2' to each side of the equation.
-2 + 2 + 3x = 4 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 4 + 2
3x = 4 + 2

Combine like terms: 4 + 2 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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