4(x+2)=9x-7

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


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

Reorder the terms:
4(2 + x) = 9x + -7
(2 * 4 + x * 4) = 9x + -7
(8 + 4x) = 9x + -7

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

Solving
8 + 4x = -7 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
8 + 4x + -9x = -7 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
8 + -5x = -7 + 0
8 + -5x = -7

Add '-8' to each side of the equation.
8 + -8 + -5x = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = -7 + -8
-5x = -7 + -8

Combine like terms: -7 + -8 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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