3x-7x=3(1-7x)+4(3x+8)

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Solution for 3x-7x=3(1-7x)+4(3x+8) equation:


Simplifying
3x + -7x = 3(1 + -7x) + 4(3x + 8)

Combine like terms: 3x + -7x = -4x
-4x = 3(1 + -7x) + 4(3x + 8)
-4x = (1 * 3 + -7x * 3) + 4(3x + 8)
-4x = (3 + -21x) + 4(3x + 8)

Reorder the terms:
-4x = 3 + -21x + 4(8 + 3x)
-4x = 3 + -21x + (8 * 4 + 3x * 4)
-4x = 3 + -21x + (32 + 12x)

Reorder the terms:
-4x = 3 + 32 + -21x + 12x

Combine like terms: 3 + 32 = 35
-4x = 35 + -21x + 12x

Combine like terms: -21x + 12x = -9x
-4x = 35 + -9x

Solving
-4x = 35 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-4x + 9x = 35 + -9x + 9x

Combine like terms: -4x + 9x = 5x
5x = 35 + -9x + 9x

Combine like terms: -9x + 9x = 0
5x = 35 + 0
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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