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

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


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

Reorder the terms:
-2x + 1 + 3(-4 + x) = 4(3 + -1x) + 4
-2x + 1 + (-4 * 3 + x * 3) = 4(3 + -1x) + 4
-2x + 1 + (-12 + 3x) = 4(3 + -1x) + 4

Reorder the terms:
1 + -12 + -2x + 3x = 4(3 + -1x) + 4

Combine like terms: 1 + -12 = -11
-11 + -2x + 3x = 4(3 + -1x) + 4

Combine like terms: -2x + 3x = 1x
-11 + 1x = 4(3 + -1x) + 4
-11 + 1x = (3 * 4 + -1x * 4) + 4
-11 + 1x = (12 + -4x) + 4

Reorder the terms:
-11 + 1x = 12 + 4 + -4x

Combine like terms: 12 + 4 = 16
-11 + 1x = 16 + -4x

Solving
-11 + 1x = 16 + -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.
-11 + 1x + 4x = 16 + -4x + 4x

Combine like terms: 1x + 4x = 5x
-11 + 5x = 16 + -4x + 4x

Combine like terms: -4x + 4x = 0
-11 + 5x = 16 + 0
-11 + 5x = 16

Add '11' to each side of the equation.
-11 + 11 + 5x = 16 + 11

Combine like terms: -11 + 11 = 0
0 + 5x = 16 + 11
5x = 16 + 11

Combine like terms: 16 + 11 = 27
5x = 27

Divide each side by '5'.
x = 5.4

Simplifying
x = 5.4

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