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

Combine like terms: 4x + 3x = 7x
-2 + 7x = 9(x + 1) + -5

Reorder the terms:
-2 + 7x = 9(1 + x) + -5
-2 + 7x = (1 * 9 + x * 9) + -5
-2 + 7x = (9 + 9x) + -5

Reorder the terms:
-2 + 7x = 9 + -5 + 9x

Combine like terms: 9 + -5 = 4
-2 + 7x = 4 + 9x

Solving
-2 + 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.
-2 + 7x + -9x = 4 + 9x + -9x

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

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

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

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

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

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

Simplifying
x = -3

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