4(2x+5)-1(3x-4)=15

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Solution for 4(2x+5)-1(3x-4)=15 equation:


Simplifying
4(2x + 5) + -1(3x + -4) = 15

Reorder the terms:
4(5 + 2x) + -1(3x + -4) = 15
(5 * 4 + 2x * 4) + -1(3x + -4) = 15
(20 + 8x) + -1(3x + -4) = 15

Reorder the terms:
20 + 8x + -1(-4 + 3x) = 15
20 + 8x + (-4 * -1 + 3x * -1) = 15
20 + 8x + (4 + -3x) = 15

Reorder the terms:
20 + 4 + 8x + -3x = 15

Combine like terms: 20 + 4 = 24
24 + 8x + -3x = 15

Combine like terms: 8x + -3x = 5x
24 + 5x = 15

Solving
24 + 5x = 15

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 5x = 15 + -24

Combine like terms: 24 + -24 = 0
0 + 5x = 15 + -24
5x = 15 + -24

Combine like terms: 15 + -24 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8

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