4(x+2)+7(2x-1)-9(3x-4)=30

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Solution for 4(x+2)+7(2x-1)-9(3x-4)=30 equation:


Simplifying
4(x + 2) + 7(2x + -1) + -9(3x + -4) = 30

Reorder the terms:
4(2 + x) + 7(2x + -1) + -9(3x + -4) = 30
(2 * 4 + x * 4) + 7(2x + -1) + -9(3x + -4) = 30
(8 + 4x) + 7(2x + -1) + -9(3x + -4) = 30

Reorder the terms:
8 + 4x + 7(-1 + 2x) + -9(3x + -4) = 30
8 + 4x + (-1 * 7 + 2x * 7) + -9(3x + -4) = 30
8 + 4x + (-7 + 14x) + -9(3x + -4) = 30

Reorder the terms:
8 + 4x + -7 + 14x + -9(-4 + 3x) = 30
8 + 4x + -7 + 14x + (-4 * -9 + 3x * -9) = 30
8 + 4x + -7 + 14x + (36 + -27x) = 30

Reorder the terms:
8 + -7 + 36 + 4x + 14x + -27x = 30

Combine like terms: 8 + -7 = 1
1 + 36 + 4x + 14x + -27x = 30

Combine like terms: 1 + 36 = 37
37 + 4x + 14x + -27x = 30

Combine like terms: 4x + 14x = 18x
37 + 18x + -27x = 30

Combine like terms: 18x + -27x = -9x
37 + -9x = 30

Solving
37 + -9x = 30

Solving for variable 'x'.

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

Add '-37' to each side of the equation.
37 + -37 + -9x = 30 + -37

Combine like terms: 37 + -37 = 0
0 + -9x = 30 + -37
-9x = 30 + -37

Combine like terms: 30 + -37 = -7
-9x = -7

Divide each side by '-9'.
x = 0.7777777778

Simplifying
x = 0.7777777778

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