3(7x-3)-4(2x-10)=3(4x+5)-1

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Solution for 3(7x-3)-4(2x-10)=3(4x+5)-1 equation:


Simplifying
3(7x + -3) + -4(2x + -10) = 3(4x + 5) + -1

Reorder the terms:
3(-3 + 7x) + -4(2x + -10) = 3(4x + 5) + -1
(-3 * 3 + 7x * 3) + -4(2x + -10) = 3(4x + 5) + -1
(-9 + 21x) + -4(2x + -10) = 3(4x + 5) + -1

Reorder the terms:
-9 + 21x + -4(-10 + 2x) = 3(4x + 5) + -1
-9 + 21x + (-10 * -4 + 2x * -4) = 3(4x + 5) + -1
-9 + 21x + (40 + -8x) = 3(4x + 5) + -1

Reorder the terms:
-9 + 40 + 21x + -8x = 3(4x + 5) + -1

Combine like terms: -9 + 40 = 31
31 + 21x + -8x = 3(4x + 5) + -1

Combine like terms: 21x + -8x = 13x
31 + 13x = 3(4x + 5) + -1

Reorder the terms:
31 + 13x = 3(5 + 4x) + -1
31 + 13x = (5 * 3 + 4x * 3) + -1
31 + 13x = (15 + 12x) + -1

Reorder the terms:
31 + 13x = 15 + -1 + 12x

Combine like terms: 15 + -1 = 14
31 + 13x = 14 + 12x

Solving
31 + 13x = 14 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
31 + 13x + -12x = 14 + 12x + -12x

Combine like terms: 13x + -12x = 1x
31 + 1x = 14 + 12x + -12x

Combine like terms: 12x + -12x = 0
31 + 1x = 14 + 0
31 + 1x = 14

Add '-31' to each side of the equation.
31 + -31 + 1x = 14 + -31

Combine like terms: 31 + -31 = 0
0 + 1x = 14 + -31
1x = 14 + -31

Combine like terms: 14 + -31 = -17
1x = -17

Divide each side by '1'.
x = -17

Simplifying
x = -17

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