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

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


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

Reorder the terms:
3(-1 + x) + 4x = 8(x + -1)
(-1 * 3 + x * 3) + 4x = 8(x + -1)
(-3 + 3x) + 4x = 8(x + -1)

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

Reorder the terms:
-3 + 7x = 8(-1 + x)
-3 + 7x = (-1 * 8 + x * 8)
-3 + 7x = (-8 + 8x)

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

Solving for variable 'x'.

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

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

Combine like terms: 7x + -8x = -1x
-3 + -1x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + -1x = -8 + 0
-3 + -1x = -8

Add '3' to each side of the equation.
-3 + 3 + -1x = -8 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -8 + 3
-1x = -8 + 3

Combine like terms: -8 + 3 = -5
-1x = -5

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

Simplifying
x = 5

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