1.5(2x+2)=4(x-1)+4

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Solution for 1.5(2x+2)=4(x-1)+4 equation:


Simplifying
1.5(2x + 2) = 4(x + -1) + 4

Reorder the terms:
1.5(2 + 2x) = 4(x + -1) + 4
(2 * 1.5 + 2x * 1.5) = 4(x + -1) + 4
(3 + 3x) = 4(x + -1) + 4

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

Reorder the terms:
3 + 3x = -4 + 4 + 4x

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

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

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

Combine like terms: 4x + -4x = 0
3 + -1x = 0

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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