7+2x+5(-x-4)+3=8+3x-2(-4x-10)+10

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Solution for 7+2x+5(-x-4)+3=8+3x-2(-4x-10)+10 equation: 


Simplifying
7 + 2x + 5(-1x + -4) + 3 = 8 + 3x + -2(-4x + -10) + 10

Reorder the terms:
7 + 2x + 5(-4 + -1x) + 3 = 8 + 3x + -2(-4x + -10) + 10
7 + 2x + (-4 * 5 + -1x * 5) + 3 = 8 + 3x + -2(-4x + -10) + 10
7 + 2x + (-20 + -5x) + 3 = 8 + 3x + -2(-4x + -10) + 10

Reorder the terms:
7 + -20 + 3 + 2x + -5x = 8 + 3x + -2(-4x + -10) + 10

Combine like terms: 7 + -20 = -13
-13 + 3 + 2x + -5x = 8 + 3x + -2(-4x + -10) + 10

Combine like terms: -13 + 3 = -10
-10 + 2x + -5x = 8 + 3x + -2(-4x + -10) + 10

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

Reorder the terms:
-10 + -3x = 8 + 3x + -2(-10 + -4x) + 10
-10 + -3x = 8 + 3x + (-10 * -2 + -4x * -2) + 10
-10 + -3x = 8 + 3x + (20 + 8x) + 10

Reorder the terms:
-10 + -3x = 8 + 20 + 10 + 3x + 8x

Combine like terms: 8 + 20 = 28
-10 + -3x = 28 + 10 + 3x + 8x

Combine like terms: 28 + 10 = 38
-10 + -3x = 38 + 3x + 8x

Combine like terms: 3x + 8x = 11x
-10 + -3x = 38 + 11x

Solving
-10 + -3x = 38 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-10 + -3x + -11x = 38 + 11x + -11x

Combine like terms: -3x + -11x = -14x
-10 + -14x = 38 + 11x + -11x

Combine like terms: 11x + -11x = 0
-10 + -14x = 38 + 0
-10 + -14x = 38

Add '10' to each side of the equation.
-10 + 10 + -14x = 38 + 10

Combine like terms: -10 + 10 = 0
0 + -14x = 38 + 10
-14x = 38 + 10

Combine like terms: 38 + 10 = 48
-14x = 48

Divide each side by '-14'.
x = -3.428571429

Simplifying
x = -3.428571429

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