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

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


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

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

Combine like terms: -2x + 7x = 5x
10 + 5x = 3x + -4

Reorder the terms:
10 + 5x = -4 + 3x

Solving
10 + 5x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 5x + -3x = -4 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
10 + 2x = -4 + 0
10 + 2x = -4

Add '-10' to each side of the equation.
10 + -10 + 2x = -4 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = -4 + -10
2x = -4 + -10

Combine like terms: -4 + -10 = -14
2x = -14

Divide each side by '2'.
x = -7

Simplifying
x = -7

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