4(2x+5)-3(3x+4)=30

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Solution for 4(2x+5)-3(3x+4)=30 equation: 


Simplifying
4(2x + 5) + -3(3x + 4) = 30

Reorder the terms:
4(5 + 2x) + -3(3x + 4) = 30
(5 * 4 + 2x * 4) + -3(3x + 4) = 30
(20 + 8x) + -3(3x + 4) = 30

Reorder the terms:
20 + 8x + -3(4 + 3x) = 30
20 + 8x + (4 * -3 + 3x * -3) = 30
20 + 8x + (-12 + -9x) = 30

Reorder the terms:
20 + -12 + 8x + -9x = 30

Combine like terms: 20 + -12 = 8
8 + 8x + -9x = 30

Combine like terms: 8x + -9x = -1x
8 + -1x = 30

Solving
8 + -1x = 30

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 30 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 30 + -8
-1x = 30 + -8

Combine like terms: 30 + -8 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22

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