7(x+2)-3(x+5)=5(2x+3)-4(x+2)

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Solution for 7(x+2)-3(x+5)=5(2x+3)-4(x+2) equation: 


Simplifying
7(x + 2) + -3(x + 5) = 5(2x + 3) + -4(x + 2)

Reorder the terms:
7(2 + x) + -3(x + 5) = 5(2x + 3) + -4(x + 2)
(2 * 7 + x * 7) + -3(x + 5) = 5(2x + 3) + -4(x + 2)
(14 + 7x) + -3(x + 5) = 5(2x + 3) + -4(x + 2)

Reorder the terms:
14 + 7x + -3(5 + x) = 5(2x + 3) + -4(x + 2)
14 + 7x + (5 * -3 + x * -3) = 5(2x + 3) + -4(x + 2)
14 + 7x + (-15 + -3x) = 5(2x + 3) + -4(x + 2)

Reorder the terms:
14 + -15 + 7x + -3x = 5(2x + 3) + -4(x + 2)

Combine like terms: 14 + -15 = -1
-1 + 7x + -3x = 5(2x + 3) + -4(x + 2)

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

Reorder the terms:
-1 + 4x = 5(3 + 2x) + -4(x + 2)
-1 + 4x = (3 * 5 + 2x * 5) + -4(x + 2)
-1 + 4x = (15 + 10x) + -4(x + 2)

Reorder the terms:
-1 + 4x = 15 + 10x + -4(2 + x)
-1 + 4x = 15 + 10x + (2 * -4 + x * -4)
-1 + 4x = 15 + 10x + (-8 + -4x)

Reorder the terms:
-1 + 4x = 15 + -8 + 10x + -4x

Combine like terms: 15 + -8 = 7
-1 + 4x = 7 + 10x + -4x

Combine like terms: 10x + -4x = 6x
-1 + 4x = 7 + 6x

Solving
-1 + 4x = 7 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
-1 + 4x + -6x = 7 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-1 + -2x = 7 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1 + -2x = 7 + 0
-1 + -2x = 7

Add '1' to each side of the equation.
-1 + 1 + -2x = 7 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 7 + 1
-2x = 7 + 1

Combine like terms: 7 + 1 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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