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

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


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

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

Combine like terms: -2x + 7x = 5x
10 + 5x = 8x + -3

Reorder the terms:
10 + 5x = -3 + 8x

Solving
10 + 5x = -3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
10 + 5x + -8x = -3 + 8x + -8x

Combine like terms: 5x + -8x = -3x
10 + -3x = -3 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -3x = -3 + 0
10 + -3x = -3

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

Combine like terms: 10 + -10 = 0
0 + -3x = -3 + -10
-3x = -3 + -10

Combine like terms: -3 + -10 = -13
-3x = -13

Divide each side by '-3'.
x = 4.333333333

Simplifying
x = 4.333333333

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