15.4=-7+1.2(x+3.5)

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Solution for 15.4=-7+1.2(x+3.5) equation:


Simplifying
15.4 = -7 + 1.2(x + 3.5)

Reorder the terms:
15.4 = -7 + 1.2(3.5 + x)
15.4 = -7 + (3.5 * 1.2 + x * 1.2)
15.4 = -7 + (4.2 + 1.2x)

Combine like terms: -7 + 4.2 = -2.8
15.4 = -2.8 + 1.2x

Solving
15.4 = -2.8 + 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.
15.4 + -1.2x = -2.8 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
15.4 + -1.2x = -2.8 + 0.0
15.4 + -1.2x = -2.8

Add '-15.4' to each side of the equation.
15.4 + -15.4 + -1.2x = -2.8 + -15.4

Combine like terms: 15.4 + -15.4 = 0.0
0.0 + -1.2x = -2.8 + -15.4
-1.2x = -2.8 + -15.4

Combine like terms: -2.8 + -15.4 = -18.2
-1.2x = -18.2

Divide each side by '-1.2'.
x = 15.16666667

Simplifying
x = 15.16666667

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