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

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


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

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

Combine like terms: 2 + -8 = -6
-6 + 4x = 7x + -9

Reorder the terms:
-6 + 4x = -9 + 7x

Solving
-6 + 4x = -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.
-6 + 4x + -7x = -9 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-6 + -3x = -9 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -3x = -9 + 0
-6 + -3x = -9

Add '6' to each side of the equation.
-6 + 6 + -3x = -9 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -9 + 6
-3x = -9 + 6

Combine like terms: -9 + 6 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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