3x+2=4x-7(9)

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Solution for 3x+2=4x-7(9) equation:


Simplifying
3x + 2 = 4x + -7(9)

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

Multiply -7 * 9
2 + 3x = 4x + -63

Reorder the terms:
2 + 3x = -63 + 4x

Solving
2 + 3x = -63 + 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.
2 + 3x + -4x = -63 + 4x + -4x

Combine like terms: 3x + -4x = -1x
2 + -1x = -63 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -1x = -63 + 0
2 + -1x = -63

Add '-2' to each side of the equation.
2 + -2 + -1x = -63 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -63 + -2
-1x = -63 + -2

Combine like terms: -63 + -2 = -65
-1x = -65

Divide each side by '-1'.
x = 65

Simplifying
x = 65

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