2.75(x-16)=2(x-3)+4

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Solution for 2.75(x-16)=2(x-3)+4 equation:


Simplifying
2.75(x + -16) = 2(x + -3) + 4

Reorder the terms:
2.75(-16 + x) = 2(x + -3) + 4
(-16 * 2.75 + x * 2.75) = 2(x + -3) + 4
(-44 + 2.75x) = 2(x + -3) + 4

Reorder the terms:
-44 + 2.75x = 2(-3 + x) + 4
-44 + 2.75x = (-3 * 2 + x * 2) + 4
-44 + 2.75x = (-6 + 2x) + 4

Reorder the terms:
-44 + 2.75x = -6 + 4 + 2x

Combine like terms: -6 + 4 = -2
-44 + 2.75x = -2 + 2x

Solving
-44 + 2.75x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-44 + 2.75x + -2x = -2 + 2x + -2x

Combine like terms: 2.75x + -2x = 0.75x
-44 + 0.75x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-44 + 0.75x = -2 + 0
-44 + 0.75x = -2

Add '44' to each side of the equation.
-44 + 44 + 0.75x = -2 + 44

Combine like terms: -44 + 44 = 0
0 + 0.75x = -2 + 44
0.75x = -2 + 44

Combine like terms: -2 + 44 = 42
0.75x = 42

Divide each side by '0.75'.
x = 56

Simplifying
x = 56

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