5(x-3)-2(5x+4)=7(3x-2)+.5(4x+8)+43

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Solution for 5(x-3)-2(5x+4)=7(3x-2)+.5(4x+8)+43 equation:


Simplifying
5(x + -3) + -2(5x + 4) = 7(3x + -2) + 0.5(4x + 8) + 43

Reorder the terms:
5(-3 + x) + -2(5x + 4) = 7(3x + -2) + 0.5(4x + 8) + 43
(-3 * 5 + x * 5) + -2(5x + 4) = 7(3x + -2) + 0.5(4x + 8) + 43
(-15 + 5x) + -2(5x + 4) = 7(3x + -2) + 0.5(4x + 8) + 43

Reorder the terms:
-15 + 5x + -2(4 + 5x) = 7(3x + -2) + 0.5(4x + 8) + 43
-15 + 5x + (4 * -2 + 5x * -2) = 7(3x + -2) + 0.5(4x + 8) + 43
-15 + 5x + (-8 + -10x) = 7(3x + -2) + 0.5(4x + 8) + 43

Reorder the terms:
-15 + -8 + 5x + -10x = 7(3x + -2) + 0.5(4x + 8) + 43

Combine like terms: -15 + -8 = -23
-23 + 5x + -10x = 7(3x + -2) + 0.5(4x + 8) + 43

Combine like terms: 5x + -10x = -5x
-23 + -5x = 7(3x + -2) + 0.5(4x + 8) + 43

Reorder the terms:
-23 + -5x = 7(-2 + 3x) + 0.5(4x + 8) + 43
-23 + -5x = (-2 * 7 + 3x * 7) + 0.5(4x + 8) + 43
-23 + -5x = (-14 + 21x) + 0.5(4x + 8) + 43

Reorder the terms:
-23 + -5x = -14 + 21x + 0.5(8 + 4x) + 43
-23 + -5x = -14 + 21x + (8 * 0.5 + 4x * 0.5) + 43
-23 + -5x = -14 + 21x + (4 + 2x) + 43

Reorder the terms:
-23 + -5x = -14 + 4 + 43 + 21x + 2x

Combine like terms: -14 + 4 = -10
-23 + -5x = -10 + 43 + 21x + 2x

Combine like terms: -10 + 43 = 33
-23 + -5x = 33 + 21x + 2x

Combine like terms: 21x + 2x = 23x
-23 + -5x = 33 + 23x

Solving
-23 + -5x = 33 + 23x

Solving for variable 'x'.

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

Add '-23x' to each side of the equation.
-23 + -5x + -23x = 33 + 23x + -23x

Combine like terms: -5x + -23x = -28x
-23 + -28x = 33 + 23x + -23x

Combine like terms: 23x + -23x = 0
-23 + -28x = 33 + 0
-23 + -28x = 33

Add '23' to each side of the equation.
-23 + 23 + -28x = 33 + 23

Combine like terms: -23 + 23 = 0
0 + -28x = 33 + 23
-28x = 33 + 23

Combine like terms: 33 + 23 = 56
-28x = 56

Divide each side by '-28'.
x = -2

Simplifying
x = -2

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