0.7(4x+3)=1.1-(x+2)

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Solution for 0.7(4x+3)=1.1-(x+2) equation:


Simplifying
0.7(4x + 3) = 1.1 + -1(x + 2)

Reorder the terms:
0.7(3 + 4x) = 1.1 + -1(x + 2)
(3 * 0.7 + 4x * 0.7) = 1.1 + -1(x + 2)
(2.1 + 2.8x) = 1.1 + -1(x + 2)

Reorder the terms:
2.1 + 2.8x = 1.1 + -1(2 + x)
2.1 + 2.8x = 1.1 + (2 * -1 + x * -1)
2.1 + 2.8x = 1.1 + (-2 + -1x)

Combine like terms: 1.1 + -2 = -0.9
2.1 + 2.8x = -0.9 + -1x

Solving
2.1 + 2.8x = -0.9 + -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 + 2.8x + x = -0.9 + -1x + x

Combine like terms: 2.8x + x = 3.8x
2.1 + 3.8x = -0.9 + -1x + x

Combine like terms: -1x + x = 0
2.1 + 3.8x = -0.9 + 0
2.1 + 3.8x = -0.9

Add '-2.1' to each side of the equation.
2.1 + -2.1 + 3.8x = -0.9 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + 3.8x = -0.9 + -2.1
3.8x = -0.9 + -2.1

Combine like terms: -0.9 + -2.1 = -3
3.8x = -3

Divide each side by '3.8'.
x = -0.7894736842

Simplifying
x = -0.7894736842

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