1.9x+3.7=2.8(x-2)-5.1

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Solution for 1.9x+3.7=2.8(x-2)-5.1 equation: 


Simplifying
1.9x + 3.7 = 2.8(x + -2) + -5.1

Reorder the terms:
3.7 + 1.9x = 2.8(x + -2) + -5.1

Reorder the terms:
3.7 + 1.9x = 2.8(-2 + x) + -5.1
3.7 + 1.9x = (-2 * 2.8 + x * 2.8) + -5.1
3.7 + 1.9x = (-5.6 + 2.8x) + -5.1

Reorder the terms:
3.7 + 1.9x = -5.6 + -5.1 + 2.8x

Combine like terms: -5.6 + -5.1 = -10.7
3.7 + 1.9x = -10.7 + 2.8x

Solving
3.7 + 1.9x = -10.7 + 2.8x

Solving for variable 'x'.

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

Add '-2.8x' to each side of the equation.
3.7 + 1.9x + -2.8x = -10.7 + 2.8x + -2.8x

Combine like terms: 1.9x + -2.8x = -0.9x
3.7 + -0.9x = -10.7 + 2.8x + -2.8x

Combine like terms: 2.8x + -2.8x = 0.0
3.7 + -0.9x = -10.7 + 0.0
3.7 + -0.9x = -10.7

Add '-3.7' to each side of the equation.
3.7 + -3.7 + -0.9x = -10.7 + -3.7

Combine like terms: 3.7 + -3.7 = 0.0
0.0 + -0.9x = -10.7 + -3.7
-0.9x = -10.7 + -3.7

Combine like terms: -10.7 + -3.7 = -14.4
-0.9x = -14.4

Divide each side by '-0.9'.
x = 16

Simplifying
x = 16

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