7+(x+9)-(2x-3)=4(x+2)+1

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Solution for 7+(x+9)-(2x-3)=4(x+2)+1 equation:


Simplifying
7 + (x + 9) + -1(2x + -3) = 4(x + 2) + 1

Reorder the terms:
7 + (9 + x) + -1(2x + -3) = 4(x + 2) + 1

Remove parenthesis around (9 + x)
7 + 9 + x + -1(2x + -3) = 4(x + 2) + 1

Reorder the terms:
7 + 9 + x + -1(-3 + 2x) = 4(x + 2) + 1
7 + 9 + x + (-3 * -1 + 2x * -1) = 4(x + 2) + 1
7 + 9 + x + (3 + -2x) = 4(x + 2) + 1

Reorder the terms:
7 + 9 + 3 + x + -2x = 4(x + 2) + 1

Combine like terms: 7 + 9 = 16
16 + 3 + x + -2x = 4(x + 2) + 1

Combine like terms: 16 + 3 = 19
19 + x + -2x = 4(x + 2) + 1

Combine like terms: x + -2x = -1x
19 + -1x = 4(x + 2) + 1

Reorder the terms:
19 + -1x = 4(2 + x) + 1
19 + -1x = (2 * 4 + x * 4) + 1
19 + -1x = (8 + 4x) + 1

Reorder the terms:
19 + -1x = 8 + 1 + 4x

Combine like terms: 8 + 1 = 9
19 + -1x = 9 + 4x

Solving
19 + -1x = 9 + 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.
19 + -1x + -4x = 9 + 4x + -4x

Combine like terms: -1x + -4x = -5x
19 + -5x = 9 + 4x + -4x

Combine like terms: 4x + -4x = 0
19 + -5x = 9 + 0
19 + -5x = 9

Add '-19' to each side of the equation.
19 + -19 + -5x = 9 + -19

Combine like terms: 19 + -19 = 0
0 + -5x = 9 + -19
-5x = 9 + -19

Combine like terms: 9 + -19 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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