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

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


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

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

Reorder the terms:
-3 + 7 + 3x = 2(3x + -4)

Combine like terms: -3 + 7 = 4
4 + 3x = 2(3x + -4)

Reorder the terms:
4 + 3x = 2(-4 + 3x)
4 + 3x = (-4 * 2 + 3x * 2)
4 + 3x = (-8 + 6x)

Solving
4 + 3x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + 3x + -6x = -8 + 6x + -6x

Combine like terms: 3x + -6x = -3x
4 + -3x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -3x = -8 + 0
4 + -3x = -8

Add '-4' to each side of the equation.
4 + -4 + -3x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -8 + -4
-3x = -8 + -4

Combine like terms: -8 + -4 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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