8.7-4.7(x+2.3)=7-3(x+4)

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Solution for 8.7-4.7(x+2.3)=7-3(x+4) equation: 


Simplifying
8.7 + -4.7(x + 2.3) = 7 + -3(x + 4)

Reorder the terms:
8.7 + -4.7(2.3 + x) = 7 + -3(x + 4)
8.7 + (2.3 * -4.7 + x * -4.7) = 7 + -3(x + 4)
8.7 + (-10.81 + -4.7x) = 7 + -3(x + 4)

Combine like terms: 8.7 + -10.81 = -2.11
-2.11 + -4.7x = 7 + -3(x + 4)

Reorder the terms:
-2.11 + -4.7x = 7 + -3(4 + x)
-2.11 + -4.7x = 7 + (4 * -3 + x * -3)
-2.11 + -4.7x = 7 + (-12 + -3x)

Combine like terms: 7 + -12 = -5
-2.11 + -4.7x = -5 + -3x

Solving
-2.11 + -4.7x = -5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-2.11 + -4.7x + 3x = -5 + -3x + 3x

Combine like terms: -4.7x + 3x = -1.7x
-2.11 + -1.7x = -5 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2.11 + -1.7x = -5 + 0
-2.11 + -1.7x = -5

Add '2.11' to each side of the equation.
-2.11 + 2.11 + -1.7x = -5 + 2.11

Combine like terms: -2.11 + 2.11 = 0.00
0.00 + -1.7x = -5 + 2.11
-1.7x = -5 + 2.11

Combine like terms: -5 + 2.11 = -2.89
-1.7x = -2.89

Divide each side by '-1.7'.
x = 1.7

Simplifying
x = 1.7

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