1.6(x-1.5)=1.2(x-7)

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Solution for 1.6(x-1.5)=1.2(x-7) equation: 


Simplifying
1.6(x + -1.5) = 1.2(x + -7)

Reorder the terms:
1.6(-1.5 + x) = 1.2(x + -7)
(-1.5 * 1.6 + x * 1.6) = 1.2(x + -7)
(-2.4 + 1.6x) = 1.2(x + -7)

Reorder the terms:
-2.4 + 1.6x = 1.2(-7 + x)
-2.4 + 1.6x = (-7 * 1.2 + x * 1.2)
-2.4 + 1.6x = (-8.4 + 1.2x)

Solving
-2.4 + 1.6x = -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.
-2.4 + 1.6x + -1.2x = -8.4 + 1.2x + -1.2x

Combine like terms: 1.6x + -1.2x = 0.4x
-2.4 + 0.4x = -8.4 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-2.4 + 0.4x = -8.4 + 0.0
-2.4 + 0.4x = -8.4

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 0.4x = -8.4 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 0.4x = -8.4 + 2.4
0.4x = -8.4 + 2.4

Combine like terms: -8.4 + 2.4 = -6
0.4x = -6

Divide each side by '0.4'.
x = -15

Simplifying
x = -15

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