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

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


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

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

Remove parenthesis around (-7 + 3x)
-7 + 3x + 3 = 4(x + -2)

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

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

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

Solving
-4 + 3x = -8 + 4x

Solving for variable 'x'.

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

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

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

Combine like terms: 4x + -4x = 0
-4 + -1x = -8 + 0
-4 + -1x = -8

Add '4' to each side of the equation.
-4 + 4 + -1x = -8 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = -8 + 4
-1x = -8 + 4

Combine like terms: -8 + 4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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