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

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


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

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

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

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

Reorder the terms:
-2 + 3x = 4(-2 + x) + 1
-2 + 3x = (-2 * 4 + x * 4) + 1
-2 + 3x = (-8 + 4x) + 1

Reorder the terms:
-2 + 3x = -8 + 1 + 4x

Combine like terms: -8 + 1 = -7
-2 + 3x = -7 + 4x

Solving
-2 + 3x = -7 + 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.
-2 + 3x + -4x = -7 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-2 + -1x = -7 + 0
-2 + -1x = -7

Add '2' to each side of the equation.
-2 + 2 + -1x = -7 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -7 + 2
-1x = -7 + 2

Combine like terms: -7 + 2 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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