0.7(7x+3)=1.8-(x+9)

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Solution for 0.7(7x+3)=1.8-(x+9) equation:


Simplifying
0.7(7x + 3) = 1.8 + -1(x + 9)

Reorder the terms:
0.7(3 + 7x) = 1.8 + -1(x + 9)
(3 * 0.7 + 7x * 0.7) = 1.8 + -1(x + 9)
(2.1 + 4.9x) = 1.8 + -1(x + 9)

Reorder the terms:
2.1 + 4.9x = 1.8 + -1(9 + x)
2.1 + 4.9x = 1.8 + (9 * -1 + x * -1)
2.1 + 4.9x = 1.8 + (-9 + -1x)

Combine like terms: 1.8 + -9 = -7.2
2.1 + 4.9x = -7.2 + -1x

Solving
2.1 + 4.9x = -7.2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2.1 + 4.9x + x = -7.2 + -1x + x

Combine like terms: 4.9x + x = 5.9x
2.1 + 5.9x = -7.2 + -1x + x

Combine like terms: -1x + x = 0
2.1 + 5.9x = -7.2 + 0
2.1 + 5.9x = -7.2

Add '-2.1' to each side of the equation.
2.1 + -2.1 + 5.9x = -7.2 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + 5.9x = -7.2 + -2.1
5.9x = -7.2 + -2.1

Combine like terms: -7.2 + -2.1 = -9.3
5.9x = -9.3

Divide each side by '5.9'.
x = -1.576271186

Simplifying
x = -1.576271186

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