5(4x-1)+5(15-2x)-3(3x+4)=-9

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Solution for 5(4x-1)+5(15-2x)-3(3x+4)=-9 equation:


Simplifying
5(4x + -1) + 5(15 + -2x) + -3(3x + 4) = -9

Reorder the terms:
5(-1 + 4x) + 5(15 + -2x) + -3(3x + 4) = -9
(-1 * 5 + 4x * 5) + 5(15 + -2x) + -3(3x + 4) = -9
(-5 + 20x) + 5(15 + -2x) + -3(3x + 4) = -9
-5 + 20x + (15 * 5 + -2x * 5) + -3(3x + 4) = -9
-5 + 20x + (75 + -10x) + -3(3x + 4) = -9

Reorder the terms:
-5 + 20x + 75 + -10x + -3(4 + 3x) = -9
-5 + 20x + 75 + -10x + (4 * -3 + 3x * -3) = -9
-5 + 20x + 75 + -10x + (-12 + -9x) = -9

Reorder the terms:
-5 + 75 + -12 + 20x + -10x + -9x = -9

Combine like terms: -5 + 75 = 70
70 + -12 + 20x + -10x + -9x = -9

Combine like terms: 70 + -12 = 58
58 + 20x + -10x + -9x = -9

Combine like terms: 20x + -10x = 10x
58 + 10x + -9x = -9

Combine like terms: 10x + -9x = 1x
58 + 1x = -9

Solving
58 + 1x = -9

Solving for variable 'x'.

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

Add '-58' to each side of the equation.
58 + -58 + 1x = -9 + -58

Combine like terms: 58 + -58 = 0
0 + 1x = -9 + -58
1x = -9 + -58

Combine like terms: -9 + -58 = -67
1x = -67

Divide each side by '1'.
x = -67

Simplifying
x = -67

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