-4(2x+5)-3(5x-2)=8

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Solution for -4(2x+5)-3(5x-2)=8 equation:


Simplifying
-4(2x + 5) + -3(5x + -2) = 8

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

Reorder the terms:
-20 + -8x + -3(-2 + 5x) = 8
-20 + -8x + (-2 * -3 + 5x * -3) = 8
-20 + -8x + (6 + -15x) = 8

Reorder the terms:
-20 + 6 + -8x + -15x = 8

Combine like terms: -20 + 6 = -14
-14 + -8x + -15x = 8

Combine like terms: -8x + -15x = -23x
-14 + -23x = 8

Solving
-14 + -23x = 8

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + -23x = 8 + 14

Combine like terms: -14 + 14 = 0
0 + -23x = 8 + 14
-23x = 8 + 14

Combine like terms: 8 + 14 = 22
-23x = 22

Divide each side by '-23'.
x = -0.9565217391

Simplifying
x = -0.9565217391

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