4(x+1)+3(x+2)=9(x+1)+-5

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Solution for 4(x+1)+3(x+2)=9(x+1)+-5 equation:


Simplifying
4(x + 1) + 3(x + 2) = 9(x + 1) + -5

Reorder the terms:
4(1 + x) + 3(x + 2) = 9(x + 1) + -5
(1 * 4 + x * 4) + 3(x + 2) = 9(x + 1) + -5
(4 + 4x) + 3(x + 2) = 9(x + 1) + -5

Reorder the terms:
4 + 4x + 3(2 + x) = 9(x + 1) + -5
4 + 4x + (2 * 3 + x * 3) = 9(x + 1) + -5
4 + 4x + (6 + 3x) = 9(x + 1) + -5

Reorder the terms:
4 + 6 + 4x + 3x = 9(x + 1) + -5

Combine like terms: 4 + 6 = 10
10 + 4x + 3x = 9(x + 1) + -5

Combine like terms: 4x + 3x = 7x
10 + 7x = 9(x + 1) + -5

Reorder the terms:
10 + 7x = 9(1 + x) + -5
10 + 7x = (1 * 9 + x * 9) + -5
10 + 7x = (9 + 9x) + -5

Reorder the terms:
10 + 7x = 9 + -5 + 9x

Combine like terms: 9 + -5 = 4
10 + 7x = 4 + 9x

Solving
10 + 7x = 4 + 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.
10 + 7x + -9x = 4 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
10 + -2x = 4 + 0
10 + -2x = 4

Add '-10' to each side of the equation.
10 + -10 + -2x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 4 + -10
-2x = 4 + -10

Combine like terms: 4 + -10 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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