4-0.5(x+1)=8.4-1.2x

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Solution for 4-0.5(x+1)=8.4-1.2x equation: 


Simplifying
4 + -0.5(x + 1) = 8.4 + -1.2x

Reorder the terms:
4 + -0.5(1 + x) = 8.4 + -1.2x
4 + (1 * -0.5 + x * -0.5) = 8.4 + -1.2x
4 + (-0.5 + -0.5x) = 8.4 + -1.2x

Combine like terms: 4 + -0.5 = 3.5
3.5 + -0.5x = 8.4 + -1.2x

Solving
3.5 + -0.5x = 8.4 + -1.2x

Solving for variable 'x'.

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

Add '1.2x' to each side of the equation.
3.5 + -0.5x + 1.2x = 8.4 + -1.2x + 1.2x

Combine like terms: -0.5x + 1.2x = 0.7x
3.5 + 0.7x = 8.4 + -1.2x + 1.2x

Combine like terms: -1.2x + 1.2x = 0.0
3.5 + 0.7x = 8.4 + 0.0
3.5 + 0.7x = 8.4

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 0.7x = 8.4 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 0.7x = 8.4 + -3.5
0.7x = 8.4 + -3.5

Combine like terms: 8.4 + -3.5 = 4.9
0.7x = 4.9

Divide each side by '0.7'.
x = 7

Simplifying
x = 7

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