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

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


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

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

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

Combine like terms: 2x + 3x = 5x
-9 + 5x = 4x + -7

Reorder the terms:
-9 + 5x = -7 + 4x

Solving
-9 + 5x = -7 + 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.
-9 + 5x + -4x = -7 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-9 + 1x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + 1x = -7 + 0
-9 + 1x = -7

Add '9' to each side of the equation.
-9 + 9 + 1x = -7 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -7 + 9
1x = -7 + 9

Combine like terms: -7 + 9 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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