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

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


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

Reorder the terms:
4x + -2(-4 + 3x) + 4 = x + 3(x + 1) + 1
4x + (-4 * -2 + 3x * -2) + 4 = x + 3(x + 1) + 1
4x + (8 + -6x) + 4 = x + 3(x + 1) + 1

Reorder the terms:
8 + 4 + 4x + -6x = x + 3(x + 1) + 1

Combine like terms: 8 + 4 = 12
12 + 4x + -6x = x + 3(x + 1) + 1

Combine like terms: 4x + -6x = -2x
12 + -2x = x + 3(x + 1) + 1

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

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

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

Combine like terms: x + 3x = 4x
12 + -2x = 4 + 4x

Solving
12 + -2x = 4 + 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.
12 + -2x + -4x = 4 + 4x + -4x

Combine like terms: -2x + -4x = -6x
12 + -6x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -6x = 4 + 0
12 + -6x = 4

Add '-12' to each side of the equation.
12 + -12 + -6x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + -6x = 4 + -12
-6x = 4 + -12

Combine like terms: 4 + -12 = -8
-6x = -8

Divide each side by '-6'.
x = 1.333333333

Simplifying
x = 1.333333333

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