3.5(x+3)=2.1(x+3)4.2

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Solution for 3.5(x+3)=2.1(x+3)4.2 equation:


Simplifying
3.5(x + 3) = 2.1(x + 3) * 4.2

Reorder the terms:
3.5(3 + x) = 2.1(x + 3) * 4.2
(3 * 3.5 + x * 3.5) = 2.1(x + 3) * 4.2
(10.5 + 3.5x) = 2.1(x + 3) * 4.2

Reorder the terms:
10.5 + 3.5x = 2.1(3 + x) * 4.2

Reorder the terms for easier multiplication:
10.5 + 3.5x = 2.1 * 4.2(3 + x)

Multiply 2.1 * 4.2
10.5 + 3.5x = 8.82(3 + x)
10.5 + 3.5x = (3 * 8.82 + x * 8.82)
10.5 + 3.5x = (26.46 + 8.82x)

Solving
10.5 + 3.5x = 26.46 + 8.82x

Solving for variable 'x'.

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

Add '-8.82x' to each side of the equation.
10.5 + 3.5x + -8.82x = 26.46 + 8.82x + -8.82x

Combine like terms: 3.5x + -8.82x = -5.32x
10.5 + -5.32x = 26.46 + 8.82x + -8.82x

Combine like terms: 8.82x + -8.82x = 0.00
10.5 + -5.32x = 26.46 + 0.00
10.5 + -5.32x = 26.46

Add '-10.5' to each side of the equation.
10.5 + -10.5 + -5.32x = 26.46 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + -5.32x = 26.46 + -10.5
-5.32x = 26.46 + -10.5

Combine like terms: 26.46 + -10.5 = 15.96
-5.32x = 15.96

Divide each side by '-5.32'.
x = -3

Simplifying
x = -3

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