15(x-8)-7(x+4)=3(3+8x)-20x+3

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Solution for 15(x-8)-7(x+4)=3(3+8x)-20x+3 equation:


Simplifying
15(x + -8) + -7(x + 4) = 3(3 + 8x) + -20x + 3

Reorder the terms:
15(-8 + x) + -7(x + 4) = 3(3 + 8x) + -20x + 3
(-8 * 15 + x * 15) + -7(x + 4) = 3(3 + 8x) + -20x + 3
(-120 + 15x) + -7(x + 4) = 3(3 + 8x) + -20x + 3

Reorder the terms:
-120 + 15x + -7(4 + x) = 3(3 + 8x) + -20x + 3
-120 + 15x + (4 * -7 + x * -7) = 3(3 + 8x) + -20x + 3
-120 + 15x + (-28 + -7x) = 3(3 + 8x) + -20x + 3

Reorder the terms:
-120 + -28 + 15x + -7x = 3(3 + 8x) + -20x + 3

Combine like terms: -120 + -28 = -148
-148 + 15x + -7x = 3(3 + 8x) + -20x + 3

Combine like terms: 15x + -7x = 8x
-148 + 8x = 3(3 + 8x) + -20x + 3
-148 + 8x = (3 * 3 + 8x * 3) + -20x + 3
-148 + 8x = (9 + 24x) + -20x + 3

Reorder the terms:
-148 + 8x = 9 + 3 + 24x + -20x

Combine like terms: 9 + 3 = 12
-148 + 8x = 12 + 24x + -20x

Combine like terms: 24x + -20x = 4x
-148 + 8x = 12 + 4x

Solving
-148 + 8x = 12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-148 + 8x + -4x = 12 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-148 + 4x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-148 + 4x = 12 + 0
-148 + 4x = 12

Add '148' to each side of the equation.
-148 + 148 + 4x = 12 + 148

Combine like terms: -148 + 148 = 0
0 + 4x = 12 + 148
4x = 12 + 148

Combine like terms: 12 + 148 = 160
4x = 160

Divide each side by '4'.
x = 40

Simplifying
x = 40

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