(3x+7)*45=36*(8x-1)-20*(50-2x)

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Solution for (3x+7)*45=36*(8x-1)-20*(50-2x) equation: 


Simplifying
(3x + 7) * 45 = 36(8x + -1) + -20(50 + -2x)

Reorder the terms:
(7 + 3x) * 45 = 36(8x + -1) + -20(50 + -2x)

Reorder the terms for easier multiplication:
45(7 + 3x) = 36(8x + -1) + -20(50 + -2x)
(7 * 45 + 3x * 45) = 36(8x + -1) + -20(50 + -2x)
(315 + 135x) = 36(8x + -1) + -20(50 + -2x)

Reorder the terms:
315 + 135x = 36(-1 + 8x) + -20(50 + -2x)
315 + 135x = (-1 * 36 + 8x * 36) + -20(50 + -2x)
315 + 135x = (-36 + 288x) + -20(50 + -2x)
315 + 135x = -36 + 288x + (50 * -20 + -2x * -20)
315 + 135x = -36 + 288x + (-1000 + 40x)

Reorder the terms:
315 + 135x = -36 + -1000 + 288x + 40x

Combine like terms: -36 + -1000 = -1036
315 + 135x = -1036 + 288x + 40x

Combine like terms: 288x + 40x = 328x
315 + 135x = -1036 + 328x

Solving
315 + 135x = -1036 + 328x

Solving for variable 'x'.

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

Add '-328x' to each side of the equation.
315 + 135x + -328x = -1036 + 328x + -328x

Combine like terms: 135x + -328x = -193x
315 + -193x = -1036 + 328x + -328x

Combine like terms: 328x + -328x = 0
315 + -193x = -1036 + 0
315 + -193x = -1036

Add '-315' to each side of the equation.
315 + -315 + -193x = -1036 + -315

Combine like terms: 315 + -315 = 0
0 + -193x = -1036 + -315
-193x = -1036 + -315

Combine like terms: -1036 + -315 = -1351
-193x = -1351

Divide each side by '-193'.
x = 7

Simplifying
x = 7

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