1.5(4x-10)+5=x-11

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Solution for 1.5(4x-10)+5=x-11 equation:


Simplifying
1.5(4x + -10) + 5 = x + -11

Reorder the terms:
1.5(-10 + 4x) + 5 = x + -11
(-10 * 1.5 + 4x * 1.5) + 5 = x + -11
(-15 + 6x) + 5 = x + -11

Reorder the terms:
-15 + 5 + 6x = x + -11

Combine like terms: -15 + 5 = -10
-10 + 6x = x + -11

Reorder the terms:
-10 + 6x = -11 + x

Solving
-10 + 6x = -11 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + 6x + -1x = -11 + x + -1x

Combine like terms: 6x + -1x = 5x
-10 + 5x = -11 + x + -1x

Combine like terms: x + -1x = 0
-10 + 5x = -11 + 0
-10 + 5x = -11

Add '10' to each side of the equation.
-10 + 10 + 5x = -11 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = -11 + 10
5x = -11 + 10

Combine like terms: -11 + 10 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2

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