0.4(7x+2)=0.28(x+7)-1.88

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Solution for 0.4(7x+2)=0.28(x+7)-1.88 equation: 


Simplifying
0.4(7x + 2) = 0.28(x + 7) + -1.88

Reorder the terms:
0.4(2 + 7x) = 0.28(x + 7) + -1.88
(2 * 0.4 + 7x * 0.4) = 0.28(x + 7) + -1.88
(0.8 + 2.8x) = 0.28(x + 7) + -1.88

Reorder the terms:
0.8 + 2.8x = 0.28(7 + x) + -1.88
0.8 + 2.8x = (7 * 0.28 + x * 0.28) + -1.88
0.8 + 2.8x = (1.96 + 0.28x) + -1.88

Reorder the terms:
0.8 + 2.8x = 1.96 + -1.88 + 0.28x

Combine like terms: 1.96 + -1.88 = 0.08
0.8 + 2.8x = 0.08 + 0.28x

Solving
0.8 + 2.8x = 0.08 + 0.28x

Solving for variable 'x'.

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

Add '-0.28x' to each side of the equation.
0.8 + 2.8x + -0.28x = 0.08 + 0.28x + -0.28x

Combine like terms: 2.8x + -0.28x = 2.52x
0.8 + 2.52x = 0.08 + 0.28x + -0.28x

Combine like terms: 0.28x + -0.28x = 0.00
0.8 + 2.52x = 0.08 + 0.00
0.8 + 2.52x = 0.08

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 2.52x = 0.08 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 2.52x = 0.08 + -0.8
2.52x = 0.08 + -0.8

Combine like terms: 0.08 + -0.8 = -0.72
2.52x = -0.72

Divide each side by '2.52'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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