0.5(3x+3)=4(2-2x)+3

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Solution for 0.5(3x+3)=4(2-2x)+3 equation:


Simplifying
0.5(3x + 3) = 4(2 + -2x) + 3

Reorder the terms:
0.5(3 + 3x) = 4(2 + -2x) + 3
(3 * 0.5 + 3x * 0.5) = 4(2 + -2x) + 3
(1.5 + 1.5x) = 4(2 + -2x) + 3
1.5 + 1.5x = (2 * 4 + -2x * 4) + 3
1.5 + 1.5x = (8 + -8x) + 3

Reorder the terms:
1.5 + 1.5x = 8 + 3 + -8x

Combine like terms: 8 + 3 = 11
1.5 + 1.5x = 11 + -8x

Solving
1.5 + 1.5x = 11 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
1.5 + 1.5x + 8x = 11 + -8x + 8x

Combine like terms: 1.5x + 8x = 9.5x
1.5 + 9.5x = 11 + -8x + 8x

Combine like terms: -8x + 8x = 0
1.5 + 9.5x = 11 + 0
1.5 + 9.5x = 11

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 9.5x = 11 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 9.5x = 11 + -1.5
9.5x = 11 + -1.5

Combine like terms: 11 + -1.5 = 9.5
9.5x = 9.5

Divide each side by '9.5'.
x = 1

Simplifying
x = 1

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