3(x-1)+5x-4=3(x-4)

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


Simplifying
3(x + -1) + 5x + -4 = 3(x + -4)

Reorder the terms:
3(-1 + x) + 5x + -4 = 3(x + -4)
(-1 * 3 + x * 3) + 5x + -4 = 3(x + -4)
(-3 + 3x) + 5x + -4 = 3(x + -4)

Reorder the terms:
-3 + -4 + 3x + 5x = 3(x + -4)

Combine like terms: -3 + -4 = -7
-7 + 3x + 5x = 3(x + -4)

Combine like terms: 3x + 5x = 8x
-7 + 8x = 3(x + -4)

Reorder the terms:
-7 + 8x = 3(-4 + x)
-7 + 8x = (-4 * 3 + x * 3)
-7 + 8x = (-12 + 3x)

Solving
-7 + 8x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-7 + 8x + -3x = -12 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-7 + 5x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + 5x = -12 + 0
-7 + 5x = -12

Add '7' to each side of the equation.
-7 + 7 + 5x = -12 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = -12 + 7
5x = -12 + 7

Combine like terms: -12 + 7 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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