-25(2x+1)+28=14(11-3x)+61-2(15x-37)

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Solution for -25(2x+1)+28=14(11-3x)+61-2(15x-37) equation: 


Simplifying
-25(2x + 1) + 28 = 14(11 + -3x) + 61 + -2(15x + -37)

Reorder the terms:
-25(1 + 2x) + 28 = 14(11 + -3x) + 61 + -2(15x + -37)
(1 * -25 + 2x * -25) + 28 = 14(11 + -3x) + 61 + -2(15x + -37)
(-25 + -50x) + 28 = 14(11 + -3x) + 61 + -2(15x + -37)

Reorder the terms:
-25 + 28 + -50x = 14(11 + -3x) + 61 + -2(15x + -37)

Combine like terms: -25 + 28 = 3
3 + -50x = 14(11 + -3x) + 61 + -2(15x + -37)
3 + -50x = (11 * 14 + -3x * 14) + 61 + -2(15x + -37)
3 + -50x = (154 + -42x) + 61 + -2(15x + -37)

Reorder the terms:
3 + -50x = 154 + -42x + 61 + -2(-37 + 15x)
3 + -50x = 154 + -42x + 61 + (-37 * -2 + 15x * -2)
3 + -50x = 154 + -42x + 61 + (74 + -30x)

Reorder the terms:
3 + -50x = 154 + 61 + 74 + -42x + -30x

Combine like terms: 154 + 61 = 215
3 + -50x = 215 + 74 + -42x + -30x

Combine like terms: 215 + 74 = 289
3 + -50x = 289 + -42x + -30x

Combine like terms: -42x + -30x = -72x
3 + -50x = 289 + -72x

Solving
3 + -50x = 289 + -72x

Solving for variable 'x'.

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

Add '72x' to each side of the equation.
3 + -50x + 72x = 289 + -72x + 72x

Combine like terms: -50x + 72x = 22x
3 + 22x = 289 + -72x + 72x

Combine like terms: -72x + 72x = 0
3 + 22x = 289 + 0
3 + 22x = 289

Add '-3' to each side of the equation.
3 + -3 + 22x = 289 + -3

Combine like terms: 3 + -3 = 0
0 + 22x = 289 + -3
22x = 289 + -3

Combine like terms: 289 + -3 = 286
22x = 286

Divide each side by '22'.
x = 13

Simplifying
x = 13

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