2*(4x+7)+5*(3x-2)-5*(5x-2)=320

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Solution for 2*(4x+7)+5*(3x-2)-5*(5x-2)=320 equation:


Simplifying
2(4x + 7) + 5(3x + -2) + -5(5x + -2) = 320

Reorder the terms:
2(7 + 4x) + 5(3x + -2) + -5(5x + -2) = 320
(7 * 2 + 4x * 2) + 5(3x + -2) + -5(5x + -2) = 320
(14 + 8x) + 5(3x + -2) + -5(5x + -2) = 320

Reorder the terms:
14 + 8x + 5(-2 + 3x) + -5(5x + -2) = 320
14 + 8x + (-2 * 5 + 3x * 5) + -5(5x + -2) = 320
14 + 8x + (-10 + 15x) + -5(5x + -2) = 320

Reorder the terms:
14 + 8x + -10 + 15x + -5(-2 + 5x) = 320
14 + 8x + -10 + 15x + (-2 * -5 + 5x * -5) = 320
14 + 8x + -10 + 15x + (10 + -25x) = 320

Reorder the terms:
14 + -10 + 10 + 8x + 15x + -25x = 320

Combine like terms: 14 + -10 = 4
4 + 10 + 8x + 15x + -25x = 320

Combine like terms: 4 + 10 = 14
14 + 8x + 15x + -25x = 320

Combine like terms: 8x + 15x = 23x
14 + 23x + -25x = 320

Combine like terms: 23x + -25x = -2x
14 + -2x = 320

Solving
14 + -2x = 320

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -2x = 320 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = 320 + -14
-2x = 320 + -14

Combine like terms: 320 + -14 = 306
-2x = 306

Divide each side by '-2'.
x = -153

Simplifying
x = -153

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