3(4x-5)+2=-4(1.5-4x)

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Solution for 3(4x-5)+2=-4(1.5-4x) equation:


Simplifying
3(4x + -5) + 2 = -4(1.5 + -4x)

Reorder the terms:
3(-5 + 4x) + 2 = -4(1.5 + -4x)
(-5 * 3 + 4x * 3) + 2 = -4(1.5 + -4x)
(-15 + 12x) + 2 = -4(1.5 + -4x)

Reorder the terms:
-15 + 2 + 12x = -4(1.5 + -4x)

Combine like terms: -15 + 2 = -13
-13 + 12x = -4(1.5 + -4x)
-13 + 12x = (1.5 * -4 + -4x * -4)
-13 + 12x = (-6 + 16x)

Solving
-13 + 12x = -6 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-13 + 12x + -16x = -6 + 16x + -16x

Combine like terms: 12x + -16x = -4x
-13 + -4x = -6 + 16x + -16x

Combine like terms: 16x + -16x = 0
-13 + -4x = -6 + 0
-13 + -4x = -6

Add '13' to each side of the equation.
-13 + 13 + -4x = -6 + 13

Combine like terms: -13 + 13 = 0
0 + -4x = -6 + 13
-4x = -6 + 13

Combine like terms: -6 + 13 = 7
-4x = 7

Divide each side by '-4'.
x = -1.75

Simplifying
x = -1.75

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