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

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


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

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

Reorder the terms:
-7 + 4x = 3(-3 + x) + 2
-7 + 4x = (-3 * 3 + x * 3) + 2
-7 + 4x = (-9 + 3x) + 2

Reorder the terms:
-7 + 4x = -9 + 2 + 3x

Combine like terms: -9 + 2 = -7
-7 + 4x = -7 + 3x

Add '7' to each side of the equation.
-7 + 7 + 4x = -7 + 7 + 3x

Combine like terms: -7 + 7 = 0
0 + 4x = -7 + 7 + 3x
4x = -7 + 7 + 3x

Combine like terms: -7 + 7 = 0
4x = 0 + 3x
4x = 3x

Solving
4x = 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.
4x + -3x = 3x + -3x

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

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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