4(x-1)=1.5(x-8)

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Solution for 4(x-1)=1.5(x-8) equation:


Simplifying
4(x + -1) = 1.5(x + -8)

Reorder the terms:
4(-1 + x) = 1.5(x + -8)
(-1 * 4 + x * 4) = 1.5(x + -8)
(-4 + 4x) = 1.5(x + -8)

Reorder the terms:
-4 + 4x = 1.5(-8 + x)
-4 + 4x = (-8 * 1.5 + x * 1.5)
-4 + 4x = (-12 + 1.5x)

Solving
-4 + 4x = -12 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
-4 + 4x + -1.5x = -12 + 1.5x + -1.5x

Combine like terms: 4x + -1.5x = 2.5x
-4 + 2.5x = -12 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-4 + 2.5x = -12 + 0.0
-4 + 2.5x = -12

Add '4' to each side of the equation.
-4 + 4 + 2.5x = -12 + 4

Combine like terms: -4 + 4 = 0
0 + 2.5x = -12 + 4
2.5x = -12 + 4

Combine like terms: -12 + 4 = -8
2.5x = -8

Divide each side by '2.5'.
x = -3.2

Simplifying
x = -3.2

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