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

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


Simplifying
x + -3 + 4(2 + x) = 7x + -9
x + -3 + (2 * 4 + x * 4) = 7x + -9
x + -3 + (8 + 4x) = 7x + -9

Reorder the terms:
-3 + 8 + x + 4x = 7x + -9

Combine like terms: -3 + 8 = 5
5 + x + 4x = 7x + -9

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

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

Solving
5 + 5x = -9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
5 + 5x + -7x = -9 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
5 + -2x = -9 + 0
5 + -2x = -9

Add '-5' to each side of the equation.
5 + -5 + -2x = -9 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = -9 + -5
-2x = -9 + -5

Combine like terms: -9 + -5 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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