2+4(x+2)=7(x+1)-9

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Solution for 2+4(x+2)=7(x+1)-9 equation: 


Simplifying
2 + 4(x + 2) = 7(x + 1) + -9

Reorder the terms:
2 + 4(2 + x) = 7(x + 1) + -9
2 + (2 * 4 + x * 4) = 7(x + 1) + -9
2 + (8 + 4x) = 7(x + 1) + -9

Combine like terms: 2 + 8 = 10
10 + 4x = 7(x + 1) + -9

Reorder the terms:
10 + 4x = 7(1 + x) + -9
10 + 4x = (1 * 7 + x * 7) + -9
10 + 4x = (7 + 7x) + -9

Reorder the terms:
10 + 4x = 7 + -9 + 7x

Combine like terms: 7 + -9 = -2
10 + 4x = -2 + 7x

Solving
10 + 4x = -2 + 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.
10 + 4x + -7x = -2 + 7x + -7x

Combine like terms: 4x + -7x = -3x
10 + -3x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
10 + -3x = -2 + 0
10 + -3x = -2

Add '-10' to each side of the equation.
10 + -10 + -3x = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -2 + -10
-3x = -2 + -10

Combine like terms: -2 + -10 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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