19*3(x+4)+2x=4(x-1)+20

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Solution for 19*3(x+4)+2x=4(x-1)+20 equation:


Simplifying
19 * 3(x + 4) + 2x = 4(x + -1) + 20

Reorder the terms:
19 * 3(4 + x) + 2x = 4(x + -1) + 20

Multiply 19 * 3
57(4 + x) + 2x = 4(x + -1) + 20
(4 * 57 + x * 57) + 2x = 4(x + -1) + 20
(228 + 57x) + 2x = 4(x + -1) + 20

Combine like terms: 57x + 2x = 59x
228 + 59x = 4(x + -1) + 20

Reorder the terms:
228 + 59x = 4(-1 + x) + 20
228 + 59x = (-1 * 4 + x * 4) + 20
228 + 59x = (-4 + 4x) + 20

Reorder the terms:
228 + 59x = -4 + 20 + 4x

Combine like terms: -4 + 20 = 16
228 + 59x = 16 + 4x

Solving
228 + 59x = 16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
228 + 59x + -4x = 16 + 4x + -4x

Combine like terms: 59x + -4x = 55x
228 + 55x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
228 + 55x = 16 + 0
228 + 55x = 16

Add '-228' to each side of the equation.
228 + -228 + 55x = 16 + -228

Combine like terms: 228 + -228 = 0
0 + 55x = 16 + -228
55x = 16 + -228

Combine like terms: 16 + -228 = -212
55x = -212

Divide each side by '55'.
x = -3.854545455

Simplifying
x = -3.854545455

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