-3x+5+(-4x+6)+7x=(2.4x-3.7)(-3)-7.2x+11

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Solution for -3x+5+(-4x+6)+7x=(2.4x-3.7)(-3)-7.2x+11 equation: 


Simplifying
-3x + 5 + (-4x + 6) + 7x = (2.4x + -3.7)(-3) + -7.2x + 11

Reorder the terms:
-3x + 5 + (6 + -4x) + 7x = (2.4x + -3.7)(-3) + -7.2x + 11

Remove parenthesis around (6 + -4x)
-3x + 5 + 6 + -4x + 7x = (2.4x + -3.7)(-3) + -7.2x + 11

Reorder the terms:
5 + 6 + -3x + -4x + 7x = (2.4x + -3.7)(-3) + -7.2x + 11

Combine like terms: 5 + 6 = 11
11 + -3x + -4x + 7x = (2.4x + -3.7)(-3) + -7.2x + 11

Combine like terms: -3x + -4x = -7x
11 + -7x + 7x = (2.4x + -3.7)(-3) + -7.2x + 11

Combine like terms: -7x + 7x = 0
11 + 0 = (2.4x + -3.7)(-3) + -7.2x + 11
11 = (2.4x + -3.7)(-3) + -7.2x + 11

Reorder the terms:
11 = (-3.7 + 2.4x)(-3) + -7.2x + 11

Reorder the terms for easier multiplication:
11 = -3(-3.7 + 2.4x) + -7.2x + 11
11 = (-3.7 * -3 + 2.4x * -3) + -7.2x + 11
11 = (11.1 + -7.2x) + -7.2x + 11

Reorder the terms:
11 = 11.1 + 11 + -7.2x + -7.2x

Combine like terms: 11.1 + 11 = 22.1
11 = 22.1 + -7.2x + -7.2x

Combine like terms: -7.2x + -7.2x = -14.4x
11 = 22.1 + -14.4x

Solving
11 = 22.1 + -14.4x

Solving for variable 'x'.

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

Add '14.4x' to each side of the equation.
11 + 14.4x = 22.1 + -14.4x + 14.4x

Combine like terms: -14.4x + 14.4x = 0.0
11 + 14.4x = 22.1 + 0.0
11 + 14.4x = 22.1

Add '-11' to each side of the equation.
11 + -11 + 14.4x = 22.1 + -11

Combine like terms: 11 + -11 = 0
0 + 14.4x = 22.1 + -11
14.4x = 22.1 + -11

Combine like terms: 22.1 + -11 = 11.1
14.4x = 11.1

Divide each side by '14.4'.
x = 0.7708333333

Simplifying
x = 0.7708333333

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