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

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


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

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

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

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

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

Combine like terms: 3x + -3x = 0
-7 + 4x = 3 + 0
-7 + 4x = 3

Solving
-7 + 4x = 3

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 4x = 3 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 3 + 7
4x = 3 + 7

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

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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