3(x-3)+9=2.1(x+2)-4

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Solution for 3(x-3)+9=2.1(x+2)-4 equation:


Simplifying
3(x + -3) + 9 = 2.1(x + 2) + -4

Reorder the terms:
3(-3 + x) + 9 = 2.1(x + 2) + -4
(-3 * 3 + x * 3) + 9 = 2.1(x + 2) + -4
(-9 + 3x) + 9 = 2.1(x + 2) + -4

Reorder the terms:
-9 + 9 + 3x = 2.1(x + 2) + -4

Combine like terms: -9 + 9 = 0
0 + 3x = 2.1(x + 2) + -4
3x = 2.1(x + 2) + -4

Reorder the terms:
3x = 2.1(2 + x) + -4
3x = (2 * 2.1 + x * 2.1) + -4
3x = (4.2 + 2.1x) + -4

Reorder the terms:
3x = 4.2 + -4 + 2.1x

Combine like terms: 4.2 + -4 = 0.2
3x = 0.2 + 2.1x

Solving
3x = 0.2 + 2.1x

Solving for variable 'x'.

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

Add '-2.1x' to each side of the equation.
3x + -2.1x = 0.2 + 2.1x + -2.1x

Combine like terms: 3x + -2.1x = 0.9x
0.9x = 0.2 + 2.1x + -2.1x

Combine like terms: 2.1x + -2.1x = 0.0
0.9x = 0.2 + 0.0
0.9x = 0.2

Divide each side by '0.9'.
x = 0.2222222222

Simplifying
x = 0.2222222222

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